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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：2-representations and 2-vector bundles
2 向量丛 群论
2023/4/13
In this talk I will introduce some basic concepts in higher category and some details of the construction in the first talk. I will introduce crossed modules and the example of strict 2-representation...
For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
CASIMIR OPERATORS AND MONODROMY REPRESENTATIONS OF GENERALISED BRAID GROUPS
CASIMIR OPERATORS MONODROMY REPRESENTATIONS GENERALISED BRAID GROUPS
2015/10/14
Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W . We construct a one parameter family of flat connections ∇κ on h with values in any finite–dimensional g–moduleV...
ON SATAKE PARAMETERS FOR REPRESENTATIONS WITH PARAHORIC FIXED VECTORS
SATAKE PARAMETERS PARAHORIC
2015/9/29
This article, a continuation of [HRo], constructs the Satake parameter for any
irreducible smooth J-spherical representation of a p-adic group, where J is any parahoric
subgroup. This parametrizes s...
Examples of the Atlas of Lie Groups and Representations
the Atlas Lie Groups Representations
2015/9/28
The Atlas of Lie Groups and Representations is a project in representation theory of real reductive groups. Themain goal of the atlas computer software, currently under development, is to compute the ...
Unitary representations of real reductive groups
Unitary representations real reductive groups
2015/9/28
The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations of a real reductive Lie group G. Even before explaining the nature of the algorithm...
ON THE SURJECTIVITY OF MOD REPRESENTATIONS ASSOCIATED TO ELLIPTIC CURVES
MOD REPRESENTATIONS ASSOCIATED ELLIPTIC CURVES
2015/8/26
Let E be an elliptic curve over the rationals that does not have complex multiplication. For each prime `, the action of the absolute Galois group on the `-torsion points of E can be given in terms of...
Unipotent Representations and the Dual Pairs Correspondence
Dual Pairs Correspondence Unipotent Representations
2015/8/17
Much of the material in this talk was presented at the conference in honor
of Roger Howe. The slides are available at
http://math.mit.edu/conferences/howe/program.php
The theme of the talk is to n...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. In the case of real groups, the
results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. This conforms to the Lefschetz
principle which states that what is true for real groups is al...
Representations of matched pairs of groupoids and applications to weak Hopf algebras
groupoids and applications algebras
2015/8/14
We introduce the category of set-theoretic representations of a
matched pair of groupoids. This is a monoidal category endowed with a
monoidal functor f` to the category of quivers over the common b...
Recognising the small Ree groups in their natural representations
the small Ree groups their natural representations Group Theory
2012/6/15
We present Las Vegas algorithms for constructive recognition and constructive membership testing of the Ree groups 2G_2(q) = Ree(q), where q = 3^{2m + 1} for some m > 0, in their natural representatio...
Irreducible representations of the exceptional cheng-kac superalgebra
Irreducible representations the exceptional cheng-kac superalgebra Representation Theory
2012/4/23
We classify all conformal irreducible modules of finite type over the Cheng Kac superalgebra CK(6).
Representations of solvable Lie algebras with filtrations
Representations solvable Lie algebras filtrations
2012/3/1
We construct representation theory of Lie algebras with filtrations. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are fou...
Representations of quivers with automorphisms over finite fields
quiver with automorphism hereditary algebra representation
2011/9/28
Let ${mathbb F}_q$ be the finite field of $q$ elements and $k$ be its algebraic closure. Let $Q$ be a quiver with automorphism $sigma$. In this survey we focus on the study of modules over the ${mathb...