Results 331 to 340 of about 2,227,858 (357)

Algebras and Representations

2009
In this chapter we develop some algebraic tools needed for the general theory of representations and invariants. The central result is a duality theorem for locally regular representations of a reductive algebraic group G. The duality between the irreducible regular representations of G and irreducible representations of the commuting algebra of G ...
Roe Goodman, Nolan R. Wallach
openaire   +2 more sources

The Representation of Relational Algebras

The Annals of Mathematics, 1950
?1. Summary A family of binary relations, or sets of ordered pairs, which is a boolean algebra, which is closed under the operations of forming converses and relative products, and which contains an identity relation, constitutes what Tarski has called a proper relational algebra. Tarski has given a set of axioms for abstract algebras of this type, and
C. J. Everett, Roger C. Lyndon
openaire   +3 more sources

Representation and Simulation of Biochemical Processes Using the pi-Calculus Process Algebra

Pacific Symposium on Biocomputing, 2000
Despite the rapidly accumulating body of knowledge about protein networks, there is currently no convenient way of sharing and manipulation of such information.
A. Regev, William Silverman, E. Shapiro
semanticscholar   +1 more source

Representation theory

, 2010
Algebraic Geometry Sándor Kovács, Max Lieblich Algebraic Topology Ethan Devinatz, Steve Mitchell, John Palmieri Combinatorics Sara Billey, Ioana Dumitriu, Chris Hoffman, Monty McGovern, Isabella Novik Complex Analysis Don Marshall, Steffen Rohde ...
Gabriele Dalla Torre
semanticscholar   +1 more source

Algebras and their Representations

1988
Our approach to spinors is based on Clifford algebras and their representations. It is convenient to present first the relevant notions in the general context of associative algebras. In particular, we show how the existence of a preferred inner product in the representation space of a simple algebra is related to that of an involutive antiautomorphism
Paolo Budinich, Andrzej Trautman
openaire   +2 more sources

THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$

, 1985
Let be the tensor algebra of the identity representation of the Lie superalgebras in the series and . The method of Weyl is used to construct a correspondence between the irreducible representations (respectively, the irreducible projective ...
A. Sergeev
semanticscholar   +1 more source

Representations of MV-algebras by sheaves

Mathematical Logic Quarterly, 2011
In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of MV-algebras devised by Filipoiu and Georgescu ([18]) and by Dubuc and Poveda ([16]).
R. Ferraioli, LETTIERI, ADA
openaire   +4 more sources

THE REPRESENTATION THEORY OF THE SO(3) INVARIANT SUPERCONFORMAL ALGEBRA

, 1990
The representation theory of the SO(3) invariant superconformal algebra is discussed. The necessary and sufficient condition of unitarity, the Kac determinants, the character formulae for unitary representations and their modular transformation laws are ...
K. Miki
semanticscholar   +1 more source

CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $

, 1994
The energy and momentum of the spin model related to the vector representation of the quantized affine algebra of type are computed in the framework of Davies et al. Commutation relations among creation and annihilation operators are also derived.
E. Date, M. Okado
semanticscholar   +1 more source

The modular representation algebra of a finite group

, 1962
1.1. Notation and terminology. G is a finite group, with unit element e. k is a field of characteristic p. By a G-module M is meant a (/c, G)-module. Elements of G act as right operators on M, and me m (m M). The k-dimension dim M of M is assumed finite.
J. Green
semanticscholar   +1 more source