Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0815.17006
Aslaksen, Helmer
Determining summands in tensor products of Lie algebra representations. (English)
[J] J. Pure Appl. Algebra 93, No.2, 135-146 (1994). ISSN 0022-4049

Most methods for decomposing tensor products of representations of simple Lie algebras are effective only for small rank. The author proves some generalizations of two methods of Dynkin: the second-highest weight rule and the method of subordination [{\it E. B. Dynkin}, Tr. Mosk. Mat. O.-va 1, 39-166 (1952; Zbl 0048.016)]. The author also proves some theorems about the tensor product of representations of special type which are effective for arbitrary rank but do not give full information about the irreducible components of the tensor product.
[P.Grushko (Irkutsk)]

MSC 2000:: *17B10 Representations of Lie algebras, algebraic theory
17B20 Simple and semisimple Lie algebras

Keywords: decomposition; tensor products; representations of simple Lie algebras; representations of special type

Citations: Zbl 0047.023; Zbl 0048.016

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.
	Elementary number theory. Primes, congruences, and secrets.

Simple Search

Zentralblatt MATH Berlin [Germany]