Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Viswanath, Sankaran"'
We consider the affine Lie algebra $\widehat{\mathfrak{sl}_2}$ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions
Externí odkaz:
http://arxiv.org/abs/2409.09328
Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of
Externí odkaz:
http://arxiv.org/abs/2311.13153
We consider the monomial expansion of the $q$-Whittaker polynomials given by the fermionic formula and via the inv and quinv statistics. We construct bijections between the parametrizing sets of these three models which preserve the $x$- and $q$-weig
Externí odkaz:
http://arxiv.org/abs/2311.07904
We define and study a generalization of the Littlewood-Richardson (LR) coefficients, which we call the flagged skew LR coefficients. These subsume several previously studied extensions of the LR coefficients. We establish the saturation property for
Externí odkaz:
http://arxiv.org/abs/2305.05195
We give simple procedures to obtain the left and right keys of a semi-standard Young tableau. Keys derive their interest from the fact that they encode the characters of Demazure and opposite Demazure modules for the general and special linear groups
Externí odkaz:
http://arxiv.org/abs/2302.08279
Given partitions $\lambda,\mu,\nu$ with at most $n$ nonzero parts and a permutation $w \in S_n$, the refined Littlewood-Richardson coefficient $c_{\lambda \mu}^\nu(w)$ is the multiplicity of the irreducible $GL_n \mathbb(C)$ module $V(\nu)$ in the so
Externí odkaz:
http://arxiv.org/abs/2204.03399
We study a family of Siegel modular forms that are constructed using Jacobi forms that arise in Umbral moonshine. All but one of them arise as the Weyl-Kac-Borcherds denominator formula of some Borcherds-Kac-Moody (BKM) Lie superalgebras. These Lie s
Externí odkaz:
http://arxiv.org/abs/2106.01605
Autor:
Venkatesh, R., Viswanath, Sankaran
We settle the fusion product decomposition theorem for higher-level affine Demazure modules for the cases $E^{(1)}_{6, 7, 8}, F^{(1)}_4$ and $E^{(2)}_{6}$, thus completing the main theorems of Chari et al. (J. Algebra, 2016) and Kus et al. (Represent
Externí odkaz:
http://arxiv.org/abs/2102.01334
The Brylinski filtration for affine Kac-Moody algebras and representations of $\mathcal{W}$-algebras
We study the Brylinski filtration induced by a principal Heisenberg subalgebra of an affine Kac-Moody algebra $\mathfrak{g}$, a notion first introduced by Slofstra. The associated graded space of this filtration on dominant weight spaces of integrabl
Externí odkaz:
http://arxiv.org/abs/1912.13353
We study, by means of Littelmann's theory of paths, Kostant-Kumar modules (KK modules for short), which by definition are certain submodules of the tensor product of two irreducible integrable highest weight representations of a symmetrizable Kac-Moo
Externí odkaz:
http://arxiv.org/abs/1905.05302