Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.
Latypov, Ilyas A. (1999)
Journal of Lie Theory
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Latypov, Ilyas A. (1999)
Journal of Lie Theory
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Khan, Manju (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 16U60, 20C05. The structure of the unit group of the group algebra FD10 of the dihedral group D10 of order 10 over a finite field F has been obtained. Supported by National Board of Higher Mathematics, DAE, India.
Moretó, Alexander (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Osamu Hatori, Keiichi Watanabe (2012)
Studia Mathematica
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We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Darafsheh, M.R., Rahnamai Barghi, A. (2000)
Beiträge zur Algebra und Geometrie
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Maurizio Brunetti, Adriana Ciampella (2007)
Colloquium Mathematicae
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A celebrated result by S. Priddy states the Koszulness of any locally finite homogeneous PBW-algebra, i.e. a homogeneous graded algebra having a Poincaré-Birkhoff-Witt basis. We find sufficient conditions for a non-locally finite homogeneous PBW-algebra to be Koszul, which allows us to completely determine the cohomology of the universal Steenrod algebra at any prime.
J. Płonka (1966)
Colloquium Mathematicae
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Andrzej Hulanicki, Edward Marczewski, Jan Mycielski (1966)
Colloquium Mathematicum
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Anthony C. Kable, Heather Russell, Nilabh Sanat (2006)
Acta Arithmetica
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Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.
Yagodovskij, P.V. (2000)
Zapiski Nauchnykh Seminarov POMI
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Ajit Iqbal Singh (2011)
Studia Mathematica
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Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.
Tvalavadze, Marina (2012)
Serdica Mathematical Journal
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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.
James A. Green (1995)
Inventiones mathematicae
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Merkurjev, A.S. (1996)
Documenta Mathematica
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G. C. Wraith (1971)
Colloquium Mathematicae
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Lidia Obojska, Andrzej Walendziak (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.
Higson, Nigel, Kasparov, Gennadi (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Rost, Markus (1996)
Documenta Mathematica
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Volker Flory (1976)
Mathematische Annalen
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