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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the lowest two-sided cells of affine Weyl groups
仿射Weyl群 最低双侧胞 Kazhdan-Lusztig基
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2023/12/11
In this talk, I will present a proof a decomposition formula of Kazhdan-Lusztig basis for the elements in the lowest two-sided cell of an affine Weyl group. This formula can be used to determine the l...
Patterns in Wigner-Weyl approach
Patterns Wigner-Weyl approach
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2010/12/28
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
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2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Patterns in Wigner-Weyl approach
Patterns Wigner-Weyl approach
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2011/3/3
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
On certain varieties attached to a Weyl group element
certain varieties Weyl group element
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2011/1/20
0. Introduction and statement of results 0.1. Let k be an algebraically closed field. Let G be a connected reductive algebraic group over k. We assume that we are in one of the following two cases.(1)...
The Non-Compact Weyl Equation
Non-Compact Weyl Equation
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2011/3/4
A non-compact version of the Weyl equation is proposed, based on the spin zero rep-resentation of the sl2 algebra. Solutions of the aforementioned equation are obtained in terms of the Kummer function...
Conjugacy classes in Weyl groups and q-W algebras
Conjugacy classes Weyl groups q-W algebras
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2010/11/17
We define noncommutative deformations W_q^s(G) of algebras of regular functions on certain transversal slices to the set of conjugacy classes in an algebraic group G which play the role of Slodowy sl...