Rigidity of Quadratic Poisson Tori
by Jesse Levitt   Milen Yakimov  

Vol. 13 No. 1 (2018) P.99~P.142

DOI:	https://doi.org/10.21915/BIMAS.2018104
	10.21915/BIMAS.2018104

ABSTRACT

We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formula has several applications in modular representation theory.

KEYWORDS
Automorphisms of Poisson algebras, cluster algebras, quadratic Poisson tori, Schubert cells.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: Primary: 17B37; Secondary: 53D17, 16W20, 15A69.

MILESTONES

Received: 2016-09-16
Revised : 2017-03-17
Accepted: 2017-03-19

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