BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Van C Nguyen (United States Naval Academy)
DTSTART:20211116T170000Z
DTEND:20211116T180000Z
DTSTAMP:20260423T021240Z
UID:ONCAS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONCAS/9/">Tw
 isting of graded quantum groups and solutions to the quantum Yang-Baxter e
 quation</a>\nby Van C Nguyen (United States Naval Academy) as part of ONCA
 S Online Noncommutative Algebra Seminar\n\n\nAbstract\nLet $H$ be a Hopf a
 lgebra over a field $k$ such that $H$ is $\\mathbb Z$-graded as an algebra
 . In this talk\, we introduce the notion of a twisting pair for $H$ and sh
 ow that the Zhang twist of $H$ by such a pair can be realized as a 2-cocyc
 le twist. We use twisting pairs to describe twists of Manin's universal qu
 antum groups associated to quadratic algebras. Furthermore\, we discuss a 
 strategy to twist a solution to the quantum Yang-Baxter equation via the F
 addeev-Reshetikhin-Takhtajan construction. If time permits\, we illustrate
  this result for the quantized coordinate rings of $GL_n(k)$.\n
LOCATION:https://researchseminars.org/talk/ONCAS/9/
END:VEVENT
END:VCALENDAR