3 papers
math.RT2026
Super Krawtchouk Polynomials via Lie Superalgebras
Plamen Iliev, Songhao Zhu
Multivariate extensions of the Krawtchouk polynomials have been studied by numerous authors in recent decades by exploring new connections to probability, representation theory and…
math.RT2024
Growth of root multiplicities along imaginary root strings in Kac--Moody algebras
Lisa Carbone, Terence Coelho, Scott H. Murray +2
Let be a symmetrizable Kac--Moody algebra. Given a root and a real root of , it is known that the -string through , denoted , is…
math.RT2023
Eigenvalues of supersymmetric Shimura operators and interpolation polynomials
Siddhartha Sahi, Songhao Zhu
The Shimura operators are a certain distinguished basis for invariant differential operators on a Hermitian symmetric space. Answering a question of Shimura, Sahi and Zhang showed…