The Exponential of Nilpotent Supergroups in the Theory of Harish-Chandra Representations

Autor: Claudio Carmeli, Veeravalli S. Varadarajan, Rita Fioresi

Publikováno v: Lecture Notes in Computer Science ISBN: 9783030269791
GSI

In this paper we discuss the exponential map in the case of nilpotent superalgebras. This provides global coordinates for nilpotent analytic supergroups, which are useful in the applications.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79d417a238996ff22b46f5b5277195ae
http://hdl.handle.net/11585/726805

Notes on Euler’swork on divergent factorial series and their associated continued fractions

Autor: Trond Digernes, Veeravalli S. Varadarajan

Publikováno v: Indian Journal of Pure and Applied Mathematics. 41:39-66

Factorial series which diverge everywhere were first considered by Euler from the point of view of summing divergent series. He discovered a way to sum such series and was led to certain integrals and continued fractions. His method of summation was

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::beb4fd84e908b80a8f92d7207b9a3b63
https://doi.org/10.1007/s13226-010-0019-8

Airy Functions Over Local Fields

Autor: David Weisbart, Rahul N. Fernandez, Veeravalli S. Varadarajan

Publikováno v: Fernandez, Rahul N.; Varadarajan, V. S.; & Weisbart, David. (2009). Airy Functions Over Local Fields: To the memory of Moshe Flato. Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics, 88(1), pp 187-206. doi: 10.1007/s11005-009-0311-x. Retrieved from: http://www.escholarship.org/uc/item/23s9c5dd

Airy integrals are very classical but in recent years they have been generalized to higher dimensions and these generalizations have proved to be very useful in studying the topology of the moduli spaces of curves. We study a natural generalization o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::895acc7d2ea93f7db769d4cbb54a0366
https://doi.org/10.1007/s11005-009-0311-x

Convergence of quantum systems on grids

Autor: Veeravalli S. Varadarajan, David Weisbart

Publikováno v: Journal of Mathematical Analysis and Applications. 336(1):608-624

We discuss here the convergence of quantum systems on grids embedded in R d and generalize the earlier results found for scalar-valued potentials to the case of matrix-valued potentials. We also discuss the essential self-adjointness of Schrodinger o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b1fd03f70653be0c6ac149b048de976

Highest weight Harish-Chandra supermodules and their geometric realizations

Autor: Claudio Carmeli, Rita Fioresi, Veeravalli S. Varadarajan

In this paper we discuss the highest weight $\frak k_r$-finite representations of the pair $(\frak g_r,\frak k_r)$ consisting of $\frak g_r$, a real form of a complex basic Lie superalgebra of classical type $\frak g$ (${\frak g}\neq A(n,n)$), and th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eea6689eaf5f0bfb673cf5e30c62f9b2
http://arxiv.org/abs/1511.01420