Right coideal subalgebras of quantized universal enveloping algebras of type G2
Barbara Pogorelsky
TL;DR
This paper classifies all right coideal subalgebras containing group-like elements in two-parameter quantum groups of type G2, revealing exactly 60 such subalgebras, thus advancing understanding of their algebraic structure.
Contribution
It provides a complete classification of right coideal subalgebras with group-like elements in two-parameter quantum groups of type G2, a previously unresolved problem.
Findings
Exactly 60 right coideal subalgebras contain all group-like elements.
Complete description of these subalgebras for quantum groups of type G2.
Enhanced understanding of the structure of two-parameter quantum groups.
Abstract
In this paper we describe the right coideal subalgebras containing all group-like elements of the two-parameter quantum groups Uq(g) and uq(g), where g is a simple Lie algebra of type G2. As a consequence, we determine that there are precisely 60 different right coideal subalgebras containing all group-like elements.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry