Zobrazeno 1 - 10
of 225
pro vyhledávání: '"SAHI, SIDDHARTHA"'
We give examples of situations -- stochastic production, military tactics, corporate merger -- where it is beneficial to concentrate risk rather than to diversify it, that is, to put all eggs in one basket. Our examples admit a dual interpretation: a
Externí odkaz:
http://arxiv.org/abs/2403.15957
Autor:
Chen, Hong, Sahi, Siddhartha
Inhomogeneous versions of Jack and Macdonald polynomials, called interpolation polynomials, have been introduced by Knop--Sahi (type $A$) and Okounkov (type $BC$). In this paper, we study binomial coefficients and Littlewood--Richardson (LR) coeffici
Externí odkaz:
http://arxiv.org/abs/2403.02490
Motivated by the theory of hypergeometric orthogonal polynomials, we consider quasi-orthogonal polynomial families - those that are orthogonal with respect to a non-degenerate bilinear form defined by a linear functional - in which the ratio of succe
Externí odkaz:
http://arxiv.org/abs/2401.14715
In this paper we consider those involutions $\theta$ of a finite-dimensional Kac-Moody Lie superalgebra $\mathfrak g$, with associated decomposition $\mathfrak g=\mathfrak k\oplus\mathfrak p$, for which a Cartan subspace $\mathfrak a$ in $\mathfrak p
Externí odkaz:
http://arxiv.org/abs/2401.04652
Autor:
Sahi, Siddhartha, Zhu, Songhao
The Shimura operators are a certain distinguished basis for invariant differential operators on a Hermitian symmetric space. Answering a question of Shimura, Sahi--Zhang showed that the Harish-Chandra images of these operators are specializations of
Externí odkaz:
http://arxiv.org/abs/2312.08661
We introduce and study quantum Capelli operators inside newly constructed quantum Weyl algebras associated to three families of symmetric pairs. Both the center of a particular quantized enveloping algebra and the Capelli operators act semisimply on
Externí odkaz:
http://arxiv.org/abs/2211.03838
Publikováno v:
Journal of Algebra, 2024, special issue in memory of Georgia Benkart
We present a new family of quantum Weyl algebras where the polynomial part is the quantum analog of functions on homogeneous spaces corresponding to symmetric matrices, skew symmetric matrices, and the entire space of matrices of a given size. The co
Externí odkaz:
http://arxiv.org/abs/2211.03833
Connection coefficient formulas for special functions describe change of basis matrices under a parameter change, for bases formed by the special functions. Such formulas are related to branching questions in representation theory. The Askey-Wilson p
Externí odkaz:
http://arxiv.org/abs/2208.08411
Publikováno v:
J. Phys A.: Math. Theor. 2024, Special Issue on Dualities and Symmetries in Integrable Systems
Let $\mathcal P:=\mathcal P_{m\times n}$ denote the quantized coordinate ring of the space of $m\times n$ matrices, equipped with natural actions of the quantized enveloping algebras $U_q(\mathfrak{gl}_m)$ and $U_q(\mathfrak{gl}_n)$. Let $\mathcal L$
Externí odkaz:
http://arxiv.org/abs/2206.09101
We consider orthogonally invariant probability measures on $\mathrm{GL}_n(\mathbb{R})$ and compare the mean of the logs of the moduli of eigenvalues of the matrices to the Lyapunov exponents of random matrix products independently drawn with respect
Externí odkaz:
http://arxiv.org/abs/2206.01091