Seminars & Colloquia Calendar

Download as iCal file

Lie Group Quantum Mathematics Seminar

Schur Q-functions and the Capelli eigenvalue problem for the Lie superalgebra q(n)

Siddhartha Sahi: Rutgers University

Location:  Hill 705
Date & time: Friday, 17 February 2017 at 12:00PM - 12:11PM

Let V be the associative superalgebra of type Q(n). Then V carries a two sided action of the queer Lie superalgebra q(n) and hence an action of l:= q(n)× q(n). We consider a distinguished basis {D_λ} of the algebra of l-invariant polynomial super-differential operators on V, which is indexed by strict partitions of length at most n. We show that the spectrum of D_λ, on the algebra P(V) of super-polynomials on V, is given by the factorial Schur Q-function of Okounkov and Ivanov.

This generalizes a result of Nazarov. As a further application we show that the radial projections of the spherical polynomials of the symmetric pair (q(n) x q(n),q(n)) are the classical Schur Q-functions.

This is joint work with Alexander Alldridge and Hadi Salmasian and available at

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.