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20102020
most citedAn Elliptic Hypergeometric Function Approach to Branching Rules

7 citations · 25 across the 9 of their papers we have counts for

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12 papers

math.CO2020★ 7 cited

An Elliptic Hypergeometric Function Approach to Branching Rules

Chul-hee Lee, Eric M. Rains, S. Ole Warnaar

We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose s…

math.NT2019

Minor corrections to Nipp's tables of quaternary quadratic forms

Chul-hee Lee

We make some corrections to Nipp's tables of positive definite integral quaternary quadratic forms. They only affect -adic densities and -adic Jordan splittings in the Append…

math.RT2019

On Polyhedral Formulas for Kirillov-Reshetikhin Modules

Chul-hee Lee

We propose a method to prove a polyhedral branching formula for Kirillov-Reshetikhin (KR) modules over an untwisted quantum affine algebra. When the underlying simple Lie algebra i…

math.NT2018

Computation of Gross-Keating invariants

Chul-hee Lee

The Gross-Keating invariant of a half-integral matrix over a -adic integer ring is a fundamental concept in the study of quadratic forms, and has important applications to Siege…

math.QA2018

Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules

Chul-hee Lee

The normalized characters of Kirillov-Reshetikhin modules over a quantum affine algebra have a limit as a formal power series. Mukhin and Young found a conjectural product formula…

math.NT2017★ 1 cited

An explicit formula for the extended Gross-Keating datum of a quadratic form

Sungmun Cho, Tamotsu Ikeda, Hidenori Katsurada +2

In this paper, we give a formula for the extended Gross-Keating datum of a quadratic form defined over a finite extension of (for ) or a finite unramified exten…