Representations of algebras

By Ryan Kinser. A Tour of Representation Theory, 2017

116 citations recorded by the source corpus.

This article contains an overview of the author's joint work with Allen Knutson and Jenna Rajchgot on $K$-polynomials of orbit closures for type $A$ quivers. It is written to an audience interested in interactions between representations of algebras, algebraic geometry, and commutative algebra. A few open problems resulting from the work are also explained.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b3b5990d5522724c0ab1bd6d732213cab5f89909

How researchers see this paper

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In Algebra and Number Theory

1. Xin Li
2. Julian Kulshammer
3. Gustavo Jasso
4. J. Renault
5. Aidan Sims
6. H. Matui
7. Toke Meier Carlsen
8. Nathan Brownlowe

In Discrete Mathematics and Combinatorics

1. Julian Kulshammer
2. Gustavo Jasso
3. Xin Li
4. J. Renault
5. Lidia Angeleri Hugel
6. Thomas Brustle

In Geometry and Topology

1. Julian Kulshammer
2. Gustavo Jasso
3. Xin Li
4. J. Renault
5. Lidia Angeleri Hugel
6. Thomas Brustle

Citations in the corpus

• Cartan subalgebras in C*-algebras. Existence and uniqueness (2017, background): “A is the C*-algebra of continuous sections of a C*-bundle A over T with fibre Mn := Mn(C) (see [10, 11, 12, 18]).”
• Higher Nakayama algebras I: Construction (2016, background): “ting freely on the set of objects of A. The canonical functor F: A !A=’induces an exact functor F: mod(A=’) !modA which admits an exact left adjoint F: modA !mod(A=’); see for example Section 14.3 in [GR97]. We introduce the following modication of Denition 2:12. Denition 4.5. Let nbe a positive int”