Higher Casimir operators and the Okounkov Polynomials
Shivang Jindal
TL;DR
This paper explores the relationship between specialized Okounkov polynomials and eigenfunctions of higher Casimir operators in complex semi-simple Lie algebras, revealing new insights into their mathematical structure.
Contribution
It introduces a specific specialization of Okounkov polynomials and links it to higher Casimir operators, providing a novel perspective in Lie algebra representation theory.
Findings
Established a connection between Okounkov polynomials and Casimir eigenfunctions.
Identified a particular specialization of Okounkov polynomials relevant to Lie algebra eigenproblems.
Enhanced understanding of the algebraic structure of higher Casimir operators.
Abstract
In this paper, we study a certain specialization of Okounkov polynomials and its connection with the eigenfunctions of higher Casimir operators for the complex semi-simple lie algebra gl_n.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons