The Double Fock Space of Type B
Marek Bo\.zejko, Wiktor Ejsmont
TL;DR
This paper introduces a new mathematical structure called the double Fock space of type B, linking it to combinatorial properties of hyperoctahedral groups involving positive and negative inversions.
Contribution
It presents the first construction of a double Fock space of type B, connecting it with combinatorics of hyperoctahedral groups.
Findings
New double Fock space of type B introduced
Connected to combinatorics of positive and negative inversions
Provides a framework for further algebraic and combinatorial studies
Abstract
In this article, we introduce the notion of a double Fock space of type B. We will show that this new construction is compatible with combinatorics of counting positive and negative inversions on a hyperoctahedral group.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Random Matrices and Applications · Markov Chains and Monte Carlo Methods