Arun Ram

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..

AFFINE AND DEGENERATE AFFINE BMW ALGEBRAS: THE CENTER

Zajj Daugherty, Arun Ram, Rahbar Virk

Journal article  |  2014  |  OSAKA JOURNAL OF MATHEMATICS

The degenerate affine and affine BMW algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic L..

Generalized Schubert Calculus

Nora Ganter, Arun Ram

Journal article  |  2013  |  JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY

Symmetry breaking, subgroup embeddings, and the Weyl group

Damien P George, Arun Ram, Jayne E Thompson, Raymond R Volkas

Journal article  |  2013  |  PHYSICAL REVIEW D

We present a systematic approach to finding Higgs vacuum expectation values, which break a symmetry G to differently embedded isom..

Affine and degenerate affine BMW algebras: actions on tensor space

Zajj Daugherty, Arun Ram, Rahbar Virk

Journal article  |  2013  |  SELECTA MATHEMATICA-NEW SERIES

The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for ort..