We use it to perform a (partial) analysis of the gauge structure in terms of an L鈭 algebra for extended geometries based on finite-dimensional structure groups. An invariant pseudo-action is also given in these cases. We comment on the continuation to infinite-dimensional structure groups. ...
Hadronic JournalandAlgebras, Groups and Geometries have been regularly published since 1978 without publication charges and are among the few remaining independent refereed journals. Hadronic Journal Algebras, Groups, and Geometries
In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley–Dickson algebras, from complex numbers to octonions and sedenions....
Algebras Groups Geometries, 3 (1993), pp. 456-492 Google Scholar BC S. Berman, B. Cox Enveloping algebras and representations of toroidal Lie algebras Pacific J. Math., 165 (1994), pp. 239-267 CrossrefView in ScopusGoogle Scholar BGK S. Berman, Y. Gao, Y. Krylyuk Quantum Tori and ...
Keywords Supersymmetry/supergravity. Group theory for physicists Lie groups Special geometries Black holes Geometry of symmetric spaces Strings and branes Differential geometry of Coset manifolds quaternionic geometry Kaehler quotient ale manifolds nilpotent orbits Tits-Satake projection ...
By an extension of Foulis’ coordinatization theorem, the negative cone of G(X)G(X) is shown to be the initial object among generalized Baer∗∗-semigroups. For finite X, the correspondence between X and G(X)G(X) provides a new class of Garside groups....
The automorphism groups of the 27 lines on the smooth cubic surface or the 28 bitangents to the general quartic plane curve are well-known to be closely related to the Weyl groups of E 6 and E 7. We show how classical subconfigurations of lines, such as double-sixes, triple systems or...
JA Leslie - 《Algebras Groups and Geometries》 被引量: 3发表: 1997年 Laboratory and Clinical Investigation of New Fluorinated Anesthetic Compound, Halopropane (CHF2CF2CH2Br) In this article, we give an extension of the Fundamental Theorem of finite dimensional algebras to the case of ℤ-grade...
Orthogonal and Symplectic Geometries.- Tensor Algebras, Exterior Algebras and Symmetric Algebras.- Orthogonal Clifford Algebras.- The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups.- Spinors and Spin Representations.- Fundamental Lie Algebras and Lie Groups in the Clifford ...
algebra corresponding to the representation of the full collineation group as matrices permuting the flags (incident point-line or point-hyperplane pairs) have been determined for each one of the four geometries PG(2, s), EG(2, s), PG( k, s), and EG( k, s), s = p r, k ⩾ ...