Arun Ram

Double coset Markov chains

Persi Diaconis, Arun Ram, Mackenzie Simper

Journal article  |  2023  |  FORUM OF MATHEMATICS SIGMA

Let G be a finite group. Let H, K be subgroups of G and H\G/K the double coset space. If Q is a probability on G which is constant..

Gems from the Work of Georgia Benkart

T Halverson, A Ram

Journal article  |  2022  |  Notices of the American Mathematical Society

Comparing formulas for type GLn Macdonald polynomials

W Guo, A Ram

Journal article  |  2022  |  Algebraic Combinatorics

The paper compares (and reproves) the alcove walk and the nonattacking fillings formulas for type GLn Macdonald polynomials which ..

Comparing formulas for type GLn Macdonald polynomials – Supplement

W Guo, A Ram

Journal article  |  2022  |  Algebraic Combinatorics

This paper is a supplement to [5], containing examples, remarks and additional material that could be useful to researchers workin..

THE THICKNESS OF SCHUBERT CELLS AS INCIDENCE STRUCTURES

John Bamberg, Arun Ram, Jon Xu

Journal article  |  2020  |  JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

This paper explores the possible use of Schubert cells and Schubert varieties in finite geometry, particularly in regard to the qu..

Positive Level, Negative Level and Level Zero

F McGlade, A Ram, Y Yang

Book Chapter  |  2020  |  Springer Proceedings in Mathematics and Statistics

This is a survey on the combinatorics and geometry of integrable representations of quantum affine algebras with a particular focu..

A Fock space model for decomposition numbers for quantum groups at roots of unity

Martina Lanini, Arun Ram, Paul Sobaje

Journal article  |  2019  |  KYOTO JOURNAL OF MATHEMATICS

In this paper we construct an abstract Fock space for general Lie types that serves as a generalization of the infinite wedge q-Fo..

THE STEINBERG-LUSZTIG TENSOR PRODUCT THEOREM, CASSELMAN-SHALIKA, AND LLT POLYNOMIALS

Martina Lanini, Arun Ram

Journal article  |  2019  |  REPRESENTATION THEORY

In this paper we establish a Steinberg-Lusztig tensor product theorem for abstract Fock space. This is a generalization of the typ..

Cyclic representations of the periodic Temperley-Lieb algebra, complex Virasoro representations and stochastic processes

Francisco C Alcaraz, Arun Ram, Vladimir Rittenberg

Journal article  |  2014  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

An(Equation presented)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a represe..

Hopf algebras and Markov chains: two examples and a theory

Persi Diaconis, CY Amy Pang, Arun Ram

Journal article  |  2014  |  JOURNAL OF ALGEBRAIC COMBINATORICS

The operation of squaring (coproduct followed by product) in a combinatorial Hopf algebra is shown to induce a Markov chain in nat..