Results 301 to 310 of about 398,973 (330)
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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
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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
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Algebras and their Representations
1988Our 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
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Representations for Distribution Algebras
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1976AbstractIn [1] the possibility of multiplying distributions in the framework of a suitable algebra was shown, and a lot of new relations has been stated. Here we state simple representations by matrices as well as formal sums for such distribution algebras, which are equivalent to each other. By means of this representations it is possible to construct
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Representations of bornological algebras
Journal of Mathematical Sciences, 2007Un modèle \(X\) a gauche sur une algèbre \(A\) est irréductible si \(AX\) est difféerent de l'élément nul. \(A\) est une algèbre et \(X\) un espace vectoriel, une représentation de \(A\) sur \(X\) est un homomorphisme de \(A\) dans l'espace vectoriel des endomorphismes de \(X\); on dit que \(A\) est une algèbre semisimple si l'intersection des noyaux ...
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Distributionlike representations of *-algebras
Journal of Mathematical Physics, 1981Non-self-adjoint representations of *-algebras in a Hilbert space give rise by an extension and transposition procedure to representations in larger spaces, such as distribution spaces. Those new representations provide examples of operators of nested Hilbert spaces which would be very singular operators when considered in the Hilbert space only.
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Generalizations of third and fifth graders within a functional approach to early algebra
Mathematics Education Research Journal, 2021Eder Pinto, Maria C Mc Canadas
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Applications of Clifford’s Geometric Algebra
Advances in Applied Clifford Algebras, 2013Eckhard Hitzer, Tohru Nitta
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, 2006