Universal factorization equalities over generalized quaternion algebras.

Tian, Yongge

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Displaying similar documents to “Universal factorization equalities over generalized quaternion algebras.”

Representations of the direct product of matrix algebras

Daniele Guido, Lars Tuset (2001)

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Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem...

Reciprocity theorems in the theory of representations of groups and algebras

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ContentsIntroduction .............................................................................................................................................................................. 51. Regular representations of algebras with approximate unit. A duality theorem..................................................... 92. Induced representations of algebras. The main duality............................................................................................. 203. Specialization;...

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Teicher, Mina (1997)

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Hisaaki Fujita (2003)

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We study associative, basic n × n𝔸-full matrix algebras over a field, whose multiplications are determined by structure systems 𝔸, that is, n-tuples of n × n matrices with certain properties.

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Abraham Goetz (1971)

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P. Kratochvil (1971)

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Representations of bornological algebras.

Abel, M. (2005)

Zapiski Nauchnykh Seminarov POMI

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Characterization of strict C*-algebras

O. Aristov (1994)

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A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.

Cellular algebras.

G.I. Lehrer, J.J. Graham (1996)

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Filtered vector spaces (abstract)

Vlastimil Dlab (1974-1975)

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Universal Enveloping Algebras of Nonassociative Structures

Tvalavadze, Marina (2012)

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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.