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This seminar covers a wide range of topics in Lie theory including (but not limited to) groups of Lie type, Lie algebras, Coxeter groups and their Hecke algebras, algebraic groups, and quantum groups, with emphasis on combinatorial and representation theoretic properties. Further information about upcoming seminars and people in the math department can be found at the CU Math Department Home Page.
Tue, Mar. 4 2:30pm (MATH 3…
Richard Green (CU)
X
We will show how to use root systems of types E6, E7, and E8 to construct generalizations of quantum Pfaffians and quantum Hafnians. These constructions are closely related to the combinatorics of del Pezzo surfaces, and they give rise to new q-analogues of an invariant cubic polynomial in type E6,and a quartic polynomial in type E7.
This is work in progress with Tianyuan Xu (University of Richmond).
Generalized quantum Pfaffians and quantum Hafnians
Tue, Apr. 8 2:30pm (MATH 3…
Shigenori Nakatsuka (FAU Erlangen-Nurnberg)
X
W-superalgebras are a large class of vertex algebras obtained from affine Lie algebras. Due to their duality, hook-type W-superalgebras have captured a lot of attention in the last decade. I will explain the duality in their representation theory and the phenomenon appearing at the level of characters.
Duality of hook-type W-superalgebras and characters Sponsored by the Meyer Fund
Tue, Apr. 22 2:30pm (MATH 3…
Juan Villarreal (University of Colorado Boulder) TBA
Generalized quantum Pfaffians and quantum Hafnians