Results 21 to 30 of about 3,794 (38)

Superanalogs of the Calogero operators and Jack polynomials

, 2000
A depending on a complex parameter $k$ superanalog ${\mathcal S}{\mathcal L}$ of Calogero operator is constructed; it is related with the root system of the Lie superalgebra ${\mathfrak{gl}}(n|m)$.
Chalykh O, Dixmier J, Kerov S, Lapoint L, Macdonald I, Olshanetsky M, Sergeev A N, Stanley R, Veselov A   +8 more
core   +2 more sources

(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F

, 2009
Let F be an arbitrary local field. Consider the standard embedding of GL(n,F) into GL(n+1,F) and the two-sided action of GL(n,F) \times GL(n,F) on GL(n+1,F).
Aizenbud, Avraham, Gourevitch, Dmitry, Sayag, Eitan   +2 more
core   +1 more source

Orthogonal subsets of root systems and the orbit method

, 2011
Let $k$ be the algebraic closure of a finite field, $G$ a Chevalley group over $k$, $U$ the maximal unipotent subgroup of $G$. To each orthogonal subset $D$ of the root system of the group $G$ and each set $\xi$ of $|D|$ non-zero scalars from $k$ one can
Ignatyev, Mikhail V.
core   +1 more source

The solution of the quantum $A_1$ T-system for arbitrary boundary

, 2011
We solve the quantum version of the $A_1$ $T$-system by use of quantum networks. The system is interpreted as a particular set of mutations of a suitable (infinite-rank) quantum cluster algebra, and Laurent positivity follows from our solution.
A. Berenstein, A. Knutson, A. Kuniba, A.N. Kirillov, Al. B. Zamolodchikov, D. Speyer, F. Ravanini, G. Musiker, I. Assem, I. Krichever, L. Faddeev, P. Caldero, P. Di Francesco, P. Di Francesco, P. Di Francesco, P. Di Francesco, P. Di Francesco, P. Di Francesco, Philippe Di Francesco, Rinat Kedem, S. Fomin, S. Fomin, S. Fomin   +22 more
core   +1 more source

A brief review of abelian categorifications

, 2007
This article contains a review of categorifications of semisimple representations of various rings via abelian categories and exact endofunctors on them.
Khovanov, Mikhail, Mazorchuk, Volodymyr, Stroppel, Catharina   +2 more
core   +1 more source

Simple Lie superalgebras and nonintegrable distributions in characteristic p

, 2006
Recently, Grozman and Leites returned to the original Cartan's description of Lie algebras to interpret the Melikyan algebras (for ...
Bouarroudj, Sofiane, Leites, Dimitry
core   +1 more source

Lorentzian causality theory

Living Reviews in Relativity, 2019
Ettore Minguzzi
exaly  

Combining Wave Function Methods with Density Functional Theory for Excited States

Chemical Reviews, 2018
Soumen Ghosh, Pragya Verma, Christopher Cramer   +2 more
exaly  

Stochastic Gravity: Theory and Applications

Living Reviews in Relativity, 2008
Bei Lok Hu, Enric Verdaguer
exaly  

Quantum‐mechanical condensed matter simulations with CRYSTAL

Wiley Interdisciplinary Reviews: Computational Molecular Science, 2018
Roberto Dovesi, Alessandro Erba, Bartolomeo Civalleri   +2 more
exaly