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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...
Homology computations for complex braid groups
Homology computations complex braid groups
2010/11/23
Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these gro...
We prove that there is a one-one correspondence between sets of irreducible representations of a polyadic group and its Post's cover. Using this correspondence, we generalize some well-known propertie...
We study the subgroup structure of the \'etale fundamental group $\Pi$ of a projective curve over an algebraically closed field of characteristic 0. We obtain an analog of the diamond theorem for $\P...
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...
Cell-Like Equivalences and Boundaries of CAT(0) Groups
Cell-Like Equivalences Boundaries of CAT(0) Groups
2010/11/11
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group a...
An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics
The Lattice Property I Veech Groups Coding Geodesics
2010/11/9
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry grou...
Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n)
projective representations symmetric groups lowering operators the supergroup Q(n)
2010/11/9
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which...
Modular Centralizer Algebras Corresponding to p-Groups
Modular Centralizer Algebras p-Groups
2010/11/22
We study the Loewy structure of the centralizer algebra kP^Q for P a p-group with subgroup Q and k a field of characteristic p. Here kP^Q is a special type of Hecke algebra. The main tool we employ i...
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 ...
On Finitary Permutation Groups
Finitary permutation primitive almost primitive totally imprimitive
2010/2/26
In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. ...
SU(2) Representations of The Groups of Integer Tangles
Representation space knot group quaternions
2010/2/26
In this work we classify the irreducible SU(2) representations of P1(S3\backslash kn) where kn is an integer n tangle and as a result we have proved the following theorem: Let n be an odd integer then...
Finite groups with the same character tables, Drinfel'd algebras and Galois algebras
character tables Drinfel'd algebras Galois algebras
2010/10/29
We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algeb...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operato...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operator...