Seminar za algebru, ZCI QuantixLie

lokacija: 
PMF Matematički odsjek
vrijeme: 
27.03.2018 - 14:00 - 15:30

U utorak 27.3. 2018. u okviru Seminara za algebru i ZCI-a QuantiXLie
Laura Fedele, Sveucilište u Rimu La Sapienza, održat će predavanje
pod naslovom

Generators for quantum finite W-algebras in type A

Abstract:
For a quantum finite W-algebra in type A, associated to any nilpotent
element and arbitrary good grading, we construct, as a generalized
quasideterminant, a matrix of Yangian type L(z) which encodes its
generators and relations. This was inspired both by the results of J.
Brundan and A. Kleshchev on the relationship between W-algebras and
Yangians, and from the results of A. De Sole, V. Kac and D. Valeri in the
context of classical affine W-algebras.
We can then express L(z) in a nicer form. When the good grading is
associated to a pyramid that is right-aligned, we use a recursive formula
to explicitly construct a matrix W(z) which provides us with a finite set
of generators for the W-algebra satisfying Premet's conditions, and prove
that the matrix L(z) can be obtained as a generalized quasideterminant of
W(z). We finally explain how to generalize these results to an arbitrary
good grading and an arbitrary choice of an isotropic subspace, using
fundamental results about the structure of quantum finite W-algebras due to
W.L. Gan and V. Ginzburg, and J. Brundan and S. Goodwin.
This is a joint work with A. De Sole and D. Valeri.

Seminar počinje u 14:00 u predavaonici 104. Pozivaju se svi
članovi seminara i svi zainteresirani da prisustvuju predavanju

Dražen Adamović

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