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Basic Hopf Algebras of Finite Representation Type and Their Classification
Basic Hopf Algebras Finite Representation Type Their Classification
2018/4/20
Let k be a algebraically closed field. We give a necessary and sufficient condition for a basic Hopf algebra over k to be finite representation type. Explicitly, we prove that a basic Hopf algebra ove...
2018群表示论及其应用研讨会（Introductory Workshop:Group Representation Theory and Applications）
2018 群表示论及其应用 研讨会
2017/12/20
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
2017年对称群和相关代数的表示论研讨会（2017 International Workshop on Representation Theory of Symmetric Groups and Related Algebras）
2017年 对称群和相关代数的表示论 研讨会
2017/11/24
This 10-day workshop is devoted to the representation theory of symmetric groups and related algebras.The representation theory of symmetric groups and related algebras is a vibrant and dynamic resear...
THE CONNECTION BETWEEN REPRESENTATION THEORY AND SCHUBERT CALCULUS
CONNECTION BETWEEN REPRESENTATION SCHUBERT CALCULUS
2015/12/17
Our aim here is to describe a direct and natural connection between the representation theory of GLn and the Schubert calculus, which goes via the Chern-Weil
theory of characteristic classes. Indeed,...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
Derived Representation Theory and the Algebraic K-theory of Fields
Algebraic K-theory of Fields Derived Representation Theory
2015/7/7
Quillen’s higher algebraic K-theory for fields F has been the object of intense
study since their introduction in 1972 [26]. The main direction of research has
been the construction of “descen...
The Brauer-Picard group of the representation category of finite supergroup algebras
Brauer-Picard group tensor category module category Quantum Algebra
2012/2/29
We develop further the techniques presented in [M. Mombelli. On the tensor product of bimodule categories over Hopf algebras. Preprint arXiv:1111.1610 ] to study bimodule categories over the represent...
Representation dimensions of triangular matrix algebras
Representation dimension tilting module finite type
2011/9/15
Abstract: Let $A$ be a finite dimensional hereditary algebra over an algebraically closed field $k$, $T_2(A)=(\begin{array}{cc}A&0 A&A\end{array})$ be the triangular matrix algebra and $A^{(1)}=(\begi...
On the representation dimension of artin algebras
dimension of artin algebras Representation Theory
2011/8/31
Abstract: The representation dimension of an artin algebra as introduced by M.Auslander in his Queen Mary Notes is the minimal possible global dimension of the endomorphism ring of a generator-cogener...
The generic representation theory of the Juyumaya algebra of braids and ties
generic representation theory Juyumaya algebra braids and ties
2011/8/29
Abstract: In this paper we determine the complex generic representation theory of the Juyumaya algebra. We show that a certain specialization of this algebra is isomorphic to the small ramified partit...
Cyclotomic Temperley-Lieb algebra of type D and its representation theory
Cyclotomic Temperley-Lieb algebra representation theory
2010/11/23
We define a new class of algebras, cyclotomic Temperley-Lieb algebras of type D, in a diagrammatic way, which is a generalization of Temperley-Lieb algebras of type D. We prove that the cyclotomic Te...
The representation dimension of Hecke algebras and symmetric groups
Hecke algebras symmetric groups
2010/11/22
We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types B and D, we also es...
Ultraproducts of Tannakian Categories and Generic Representation Theory of Unipotent Algebraic Groups
Ultraproducts of Tannakian Categories Representation Theory Unipotent Algebraic Groups
2010/11/9
The principle of tannakian duality states that any neutral tannakian category is tensorially equivalent to the category Rep_k G of finite dimensional representations of some affine group scheme G and ...