Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type B_n

TL;DR

This paper derives explicit formulas for generating functions related to torus-invariant primitive ideals in the big cell of the quantum minuscule Grassmannian of type B_n, advancing understanding of its algebraic structure.

Contribution

It provides explicit formulae for generating functions of torus-invariant primitive ideals in the quantum minuscule Grassmannian of type B_n, a novel contribution in quantum algebra.

Findings

Explicit formulas for generating functions of primitive ideals

Enumeration of torus-invariant strata by dimension

Enhanced understanding of quantum Grassmannian structure

Abstract

The aim of this article is to give explicit formulae for various generating functions, including the generating function of torus-invariant primitive ideals in the big cell of the quantum minuscule grassmannian of type B_n.