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Finding bases of new infinite dimensional representations of $\mathfrak{osp}(1|2n)$ ( Dwight Williams, UT Arlington)

March 10 @ 12:15 pm - 1:10 pm

The orthosymplectic Lie superalgebra $\mathfrak{osp}(1|2n)$ is rich in representation theory: while the finite dimensional $\mathfrak{osp}(1|2n)$-module category is semisimple, the study of infinite dimensional representations of $\mathfrak{osp}(1|2n)$ is wide open. In this talk, we will define the orthosymplectic Lie superalgebras, realize $\mathfrak{osp}(1|2n)$ as differential operators on complex polynomials, and describe the space of polynomials in commuting and anti-commuting variables as a representation space for $\mathfrak{osp}(1|2n)$. Moreover, we will present operators—and perhaps generalized versions of these operators—which help give explicit bases for certain infinite dimensional $\mathfrak{osp}(1|2n)$-modules.

Details

Date:
March 10
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Dwight Williams (UT Arlington)

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map

Details

Date:
March 10
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Dwight Williams (UT Arlington)

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map