A classification of idempotents in Clifford algebras Cp,q is presented. It is shown that using isomorphisms between Clifford algebras Cp,q and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous families. These families include primitive idempotents used to generate minimal one sided ideals in Clifford algebras. Some low dimensional examples are discussed. PACS: 02.10.Hh Key words: Clifford algebra, idempotent, Jordan form, variet
AbstractAs is well known, Clifford algebras can be faithfully realized as certain matrix algebras, t...
In attempting to investigate infinite-dimensional simple Jordan algebras / having rich supplies of i...
Using the syzygy method, established in our earlier paper (Krasnov and Tkachev, 2018), we characteri...
There are several topics of Clifford algebra where discrete and continuous worlds are deeply intertw...
AbstractWe study the generalized Clifford algebras associated to homogeneous binary forms of prime d...
AbstractIn this paper we find a necessary and sufficient condition for a Peirce grading of a Jordan ...
In this paper, we study Clifford algebras so universal and constructive as quantization of exterior...
AbstractIt is well known that Clifford algebras are group algebras deformed by a 2-cocycle. Furtherm...
Abstract. This paper gives a new treatment of the Cli¤ord algebras. We represent the pinor and spino...
The usual Clifford algebras are defined by the structure relations e2j = −1 for each j = 1,..., n an...
AbstractWe construct a number system that is isomorphic to the factor ring of an arbitrary polynomia...
Não disponívelOur intention was to construct and study one Clifford algebra CM, which has a fundamen...
A straightforward introduction to Clifford algebras, providing the necessary background material and...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
It is well known that a commuting family of diagonalizable linear operators on a finite dimensional ...
AbstractAs is well known, Clifford algebras can be faithfully realized as certain matrix algebras, t...
In attempting to investigate infinite-dimensional simple Jordan algebras / having rich supplies of i...
Using the syzygy method, established in our earlier paper (Krasnov and Tkachev, 2018), we characteri...
There are several topics of Clifford algebra where discrete and continuous worlds are deeply intertw...
AbstractWe study the generalized Clifford algebras associated to homogeneous binary forms of prime d...
AbstractIn this paper we find a necessary and sufficient condition for a Peirce grading of a Jordan ...
In this paper, we study Clifford algebras so universal and constructive as quantization of exterior...
AbstractIt is well known that Clifford algebras are group algebras deformed by a 2-cocycle. Furtherm...
Abstract. This paper gives a new treatment of the Cli¤ord algebras. We represent the pinor and spino...
The usual Clifford algebras are defined by the structure relations e2j = −1 for each j = 1,..., n an...
AbstractWe construct a number system that is isomorphic to the factor ring of an arbitrary polynomia...
Não disponívelOur intention was to construct and study one Clifford algebra CM, which has a fundamen...
A straightforward introduction to Clifford algebras, providing the necessary background material and...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
It is well known that a commuting family of diagonalizable linear operators on a finite dimensional ...
AbstractAs is well known, Clifford algebras can be faithfully realized as certain matrix algebras, t...
In attempting to investigate infinite-dimensional simple Jordan algebras / having rich supplies of i...
Using the syzygy method, established in our earlier paper (Krasnov and Tkachev, 2018), we characteri...