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Talk Algebra Virtual

Braided Hopf algebra structures on exterior algebras


15:00 – 16:00 (UTC)
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Abstract

The exterior algebra of any vector space of dimension greater than one admits a one-parameter family of braided Hopf algebra structures, of which the standard super Hopf algebra structure is a particular example. By employing a one-parameter family of diagonal automorphisms of these braided Hopf algebras, we construct solutions of the (constant) Yang-Baxter equation. These solutions conjecturally underlie the two-variable Links-Gould knot invariants associated with quantum supergroups. This is joint work with Vladimir Mangazeev.

Speakers 1

RK
Rinat Kashaev

Past sessions

Jun 8
U(h)-free modules over the Lie superalgebras sl(m|n)
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Jun 1
On Cardinalities whose Arithmetical Properties Determine the Structure of Solutions of the Yang--Baxter Equation
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Mon, Jun 15 · 15:00 (UTC)
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