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1. Algebras, Quivers and Representations : The Abel Symposium 2011
edited by Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Abel Symposia ; 8
オンライン: http://dx.doi.org/10.1007/978-3-642-39485-0
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C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras
D. Happel: Algebras of finite global dimension
K. Igusa (with G. Todorov): Continuous Frobenius categories
D.A. Jorgensen: Triangle functors from generic hypersurfaces
Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian
H. Krause: Morphisms determined by objects in triangulated categories
P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories
J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories
C.M. Ringel: Distinguished bases of exceptional modules
A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories
D. Speyer and H. Thomas: Acyclic cluster algebras revisited
H. Thomas and  D. Speyer: Acyclic cluster algebras revisited
G. Todorov and K. Igusa: Continuous Frobenius categories
L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian
D. Zacharia and D. Happel: Algebras of finite global dimension
C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
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2. An Invitation to General Algebra and Universal Constructions. 2nd ed. 2015
by George M. Bergman
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-319-11478-1
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1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
3 Free Groups
4 A Cook's Tour
Part II: Basic Tools and Concepts
5 Ordered Sets, Induction, and the Axiom of Choice
6 Lattices, Closure Operators, and Galois Connections
7 Categories and Functors
8 Universal Constructions
9 Varieties of Algebras
Part III: More on Adjunctions
10 Algebras, Coalgebras, and Adjunctions
References
List of Exercises
Symbol Index
Word and Phrase Index
1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
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3. Idempotent Matrices over Complex Group Algebras
by Ioannis Emmanouil
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/3-540-27991-1
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4. Algebras, Rings and Modules
edited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
出版情報: Dordrecht : Springer, 2007
シリーズ名: Mathematics and Its Applications ; 586
オンライン: http://dx.doi.org/10.1007/978-1-4020-5141-8
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5. Lower Central and Dimension Series of Groups
by Roman Mikhailov, Inder Bir Singh Passi ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1952
オンライン: http://dx.doi.org/10.1007/978-3-540-85818-8
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6. Associative and Non-Associative Algebras and Applications : 3rd MAMAA, Chefchaouen, Morocco, April 12-14, 2018. 1st ed. 2020
edited by Mercedes Siles Molina, Laiachi El Kaoutit, Mohamed Louzari, L'Moufadal Ben Yakoub, Mohamed Benslimane
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 311
オンライン: https://doi.org/10.1007/978-3-030-35256-1
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Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
Cabrera-Padilla, M. G., Jiménez-Vargas A. and Villegas-Vallecillos, M: A survey on isometries between Lipschitz spaces
Carmona, J., López-Martínez, S. and Martínez-Aparicio P. J: The principal eigenvalue for a class of singular quasilinear elliptic operators and applications
Martín, A. J. C., Dieme, B., and Izquierdo F. J. N: Non-commutative Poisson algebras admitting a multiplicative basis
García, M. C. and Palacios, Á . R: Multiplication algebras: algebraic and analytic aspects
Oudghiri, M. and Souilah, K: Generalized Drazin inverse and commuting Riesz perturbations
Louzari, M. and Reyes, A: Generalized rigid modules and their polynomial extensions
Martín, A. J. C., Gaye, B., and Izquierdo F. J. N: n-Ary k -actions between sets and their applications
Badry, M. E., Abdallaoui, M. A., and Haily, A: Primary group rings
Diop, Y., Mesmoudi, L. and Sow, D: Semi-ring based Gröbner-Shirshov bases over a noetherian valuation ring
Haynou, M. and Mohammed Taous, M: The 4-rank of the class group of some real pure quartic number fields
Part II: Homological and categorical methods in algebra
Bulacu, D., and Torrecillas, B: Frobenius monoidal algebras and related topics
Dembele, B., Maaouia M. B. F. and Sanghare, M: The functor SC−1 () and its relationship with homological functors T orn and E XT n
Kaoutit, L. E.: BOCSES over small linear categories and corings
Ammar, F., Ayadi, I., Mabrouk, S., and Makhlouf, A: Quadratic color Hom-Lie algebras
Abdelalim, S., Chaichaa, A. and Garn, M. E: The extension property in the category of direct sum of cyclic torsion-free modules over a BFD
Part III: History of Mathematics
Azizi, A.: Arabic Scientific and technical Heritage in Morocco
Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
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7. Skew PBW Extensions : Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications. 1st ed. 2020
by William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Héctor Suárez, Helbert Venegas
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Algebra and Applications ; 28
オンライン: https://doi.org/10.1007/978-3-030-53378-6
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Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
III Matrix and Gröbner Methods for Skew PBW Extensions
IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions
References
Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
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8. Basic Representation Theory of Algebras. 1st ed. 2020
by Ibrahim Assem, Flávio U. Coelho
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Graduate Texts in Mathematics ; 283
オンライン: https://doi.org/10.1007/978-3-030-35118-2
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Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
Chapter 3: Constructing almost split sequences
Chapter 4: The Auslander–Reiten quiver of an algebra
Chapter 5: Endomorphism algebras
Chapter 6: Representation-finite algebras
Bibliography
Index
Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
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9. Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers. 1st ed. 2020
edited by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Algorithms and Computation in Mathematics ; 28
オンライン: https://doi.org/10.1007/978-3-030-26454-3
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Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
3 Introduction to Algorithms for D-Modules with Quiver D-Modules
4 Noncommutative Gröbner Bases: Applications and Generalizations
5 Introduction to Computational Algebraic Statistics
Part II Second Byway: Quivers
6 Introduction to Representations of Quivers
7 Introduction to Quiver Varieties
8 On Additive Deligne-Simpson Problems
9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1
Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
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10. Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification : In honor of Vyjayanthi Chari on the occasion of her 60th birthday. 1st ed. 2021
edited by Jacob Greenstein, David Hernandez, Kailash C. Misra, Prasad Senesi
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Mathematics ; 337
オンライン: https://doi.org/10.1007/978-3-030-63849-8
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Publications of Vyjayanthi Chari
Students of Vyjayanthi Chari
Part I: Courses
String Diagrams and Categorification
Quantum Affine Algebras and Cluster Algebras
Part II: Surveys
Work of Vyjayanthi Chari
Steinberg Groups for Jordan Pairs - An Introduction with Open Problems
On the Hecke-Algebraic Approach for General Linear Groups over a p-adic Field
Part III: Papers
Categorical Representations and Classical p-adic Groups
Formulae of l-Divided Powers in Uq(sl2),II
Longest Weyl Group Elements in Action
Dual Kashiwara Functions for the B(∞) Crystal in the Bipartite Case
Lusztig's t-Analogue of weight multiplicity via Crystals
Conormal Varieties on the Cominuscule Grassmannian
Evaluation Modules for Quantum Toroidal gln Algebras
Dynamical Quantum Determinants and Pfaffians
Publications of Vyjayanthi Chari
Students of Vyjayanthi Chari
Part I: Courses