Zobrazeno 1 - 10
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pro vyhledávání: '"Harish A"'
Autor:
Gurevich, Dimitry, Saponov, Pavel
We consider the so-called generalized Harish-Chandra morphism, taking the center of the enveloping algebra U(gl(N)) to the commutative algebra generated by eigenvalues of the generating matrix of this algebra, and generalize this construction to Refl
Externí odkaz:
http://arxiv.org/abs/2411.01303
Autor:
Subag, Eyal
We study and classify algebraic families of Harish-Chandra pairs over the complex affine line and over the complex projective line with generic fiber that is isomorphic to the Harish-Chandra pair of $SL_2(\mathbb{R})$.
Externí odkaz:
http://arxiv.org/abs/2411.00228
Autor:
Wallach, Nolan R.
This paper, in particular, gives a complete proof of the direct integral version of the Whittaker Plancherel Theorem. The main emphasis is on certain Hilbert and Fr\'echet vector bundles over a space that has a submersion onto the tempered dual. This
Externí odkaz:
http://arxiv.org/abs/2410.23226
Autor:
Bai, Zhanqiang, Hunziker, Markus
Let $L(\lambda)$ be a highest weight Harish-Chandra module with highest weight $\lambda$. When the associated variety of $L(\lambda)$ is not maximal, that is, not equal to the nilradical of the corresponding parabolic subalgebra, we prove that the un
Externí odkaz:
http://arxiv.org/abs/2409.16555
Autor:
Bai, Zhanqiang, Jiang, Jing
Let $G$ be a Hermitian type Lie group with maximal compact subgroup $K$. Let $L(\lambda)$ be a highest weight Harish-Chandra module of $G$ with the infinitesimal character $\lambda$. By using some combinatorial algorithm, we obtain a description of t
Externí odkaz:
http://arxiv.org/abs/2408.07951
Autor:
Rossi, Damiano
Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime $\ell$ is contractible. This conjecture was proved by Symonds in 1998. In this paper, we suggest a generalisation of Webb's conjecture for finite
Externí odkaz:
http://arxiv.org/abs/2408.06129
Autor:
Oyadare, Olufemi O.
We establish a $K-$type decomposition of the Harish-Chandra Schwartz algebra $\mathcal{C}^{p}(G),$ for any real-rank $1$ reductive group $G$ with a maximal compact subgroup $K$ and $0
Externí odkaz:
http://arxiv.org/abs/2407.20755
Autor:
Jyman, Dadapeer, Nataraja, Mysore
Publikováno v:
Indian Literature, 2024 Mar 01. 682 (340), 30-37.
Externí odkaz:
https://www.jstor.org/stable/27303878
Autor:
Wen, Joshua Jeishing
We confirm a conjecture of Braverman--Etingof--Finkelberg that the spherical subalgebra of their cyclotomic double affine Hecke algebra (DAHA) is isomorphic to a quantized multiplicative quiver variety for the cyclic quiver, as defined by Jordan. The
Externí odkaz:
http://arxiv.org/abs/2407.07679
Autor:
Chuah, Meng-Kiat, Fioresi, Rita
Geometric quantization transforms a symplectic manifold with Lie group action to a unitary representation. In this article, we extend geometric quantization to the super setting. We consider real forms of contragredient Lie supergroups with compact C
Externí odkaz:
http://arxiv.org/abs/2405.16251