Results 51 to 60 of about 17,683 (170)

Extended binary Golay codes by a group algebra of one group

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
Extended binary Golay codes are examples of extreme binary self-dual codes of Type II (linear binary self-dual codes with Hamming distance between arbitrary codewords which are multiples of 4 that has the highest possible minimum Hamming distance among ...
М. Ю. Бортош, О. А. Тилищак   +1 more
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IDEMPOTENTS IN GROUP ALGEBRAS [PDF]

Bulletin of the American Mathematical Society, 1962
will be called an idempotent on G. The support of a complex function ƒ on G is the set of all # £ G at which ƒ(x) 5^0. The support group of ƒ is the smallest subgroup of G which contains the support of ƒ. By methods involving Fourier transforms and the Pontryagin duality theory, the idempotents on abelian groups are completely known [2, p. 199].
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Quasi-multipliers and quasi Jordan multipliers [PDF]

AUT Journal of Mathematics and Computing
We show that every quasi-multiplier $‎\phi‎‎:‎L^1(G)‎\times ‎L^1(G)‎‎\longrightarrow ‎L^1(G)‎$, ‎where‎‎‎ ‎‎$‎G‎$ is a locally compact group, is of the form ‎‎‎‎$$‎‎‎‎‎‎‎‎‎‎‎\phi(f,g)=f‎\star ‎‎\mu‎\star ‎‎g‎,\ \ \ \ \ f,g\in ‎L^1(G),‎$$ for a unique ...
Abbas Zivari-Kazempour
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Representations of Algebraic Groups [PDF]

Nagoya Mathematical Journal, 1963
Our purpose here is to study the irreducible representations of semisimple algebraic groups of characteristic p 0, in particular the rational representations, and to determine all of the representations of corresponding finite simple groups. (Each algebraic group is assumed to be defined over a universal field which is algebraically closed and of ...
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Automorphism groups of some non-nilpotent Leibniz algebras

Researches in Mathematics
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
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Tensor products of commutative Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1982
Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that,
U. B. Tewari, M. Dutta, Shobha Madan
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Inner and Outer Derivations of FV8n [PDF]

Advances in Group Theory and Applications
Let F be a field of characteristic 0 or an odd rational prime p. In this article, we give an explicit classification of all the inner and outer derivations of the group algebra FV8n, where V8n is a group of order 8n (n a positive integer).
Praveen Manju, Rajendra Kumar Sharma
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Algebraically generated groups and their Lie algebras

Journal of the London Mathematical Society
AbstractThe automorphism group of an affine variety is an ind‐group. Its Lie algebra is canonically embedded into the Lie algebra of vector fields on . We study the relations between subgroups of and Lie subalgebras of . We show that a subgroup generated by a family of connected algebraic subgroups of is algebraic if and only if the Lie algebras
Kraft, Hanspeter, Zaidenberg, Mikhail
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The tensor product of m-partition algebras as a centralizer algebra of

Mathematics Open
In this paper, we concentrate on the generalized Jones result in Kennedy and Jaish (2021) which says that [Formula: see text], the tensor product of m-partition algebras is a centralizer algebra of the action of the direct product of symmetric groups ...
Amani M. Alfadhli
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Amenability in Group Algebras and Banach Algebras.

MATHEMATICA SCANDINAVICA, 1994
There are many known examples of Banach algebras \(\mathfrak A\) that can be shown to be amenable by the construction of a dense-ranged homomorphism from the group algebra of an amenable group into \(\mathfrak A\). To answer the question of whether this criterion is necessary for amenability, many amenable Banach algebras are constructed for which ...
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