Results 21 to 30 of about 19,016 (193)

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

Concrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

AUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +1 more source

ON FRT– CLIFFORD ALGEBRAS

Advances in Applied Clifford Algebras, 2000
LaTeX2e, 28 pages, 3 ...
Heckenberger, I., Schüler, A.
openaire   +2 more sources

Isocliny in spinor space and Wilson fermions [PDF]

, 2000
We show that Clifford algebras are closely related to the study of isoclinic subspaces of spinor spaces and, consequently, to the Hurwitz-Radon matrix problem.
Arellano, Asano, Benn, Biedenharn, Brower, Brower, Budinich, Chandrasekharan, Choquet-Bruhat, Cnops, Cnops, Conte, Coquereaux, Cox, Eaton, Eckmann, Feynman, Gattringer, Gattringer, Gattringer, Gattringer, Gattringer, Gunson, Hao, Higuchi, Itoi, Johnson, K. Scharnhorst, Kac, Kastler, Lemmens, Lounesto, Lounesto, Lounesto, L̵awrynowicz, L̵awrynowicz, L̵awrynowicz, L̵awrynowicz, L̵awrynowicz, L̵awrynowicz, Montvay, Porteous, Porteous, Randriamihamison, Rothe, Salmhofer, Scharnhorst, Scharnhorst, Scharnhorst, Scharnhorst, Scharnhorst, Schoenmaker, Shapiro, Shi, Shi, Shi, Shirokov, Stamatescu, Wong, Wong, Zhelnorovich   +60 more
core   +3 more sources

Color Lie algebras and Lie algebras of order F [PDF]

, 2008
The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras.
Campoamor-Stursberg, R., de Traubenberg, M. Rausch   +1 more
core   +3 more sources

Quaternionic and Octonionic Spinors. A Classification [PDF]

, 2003
Quaternionic and octonionic realizations of Clifford algebras and spinors are classified and explicitly constructed in terms of recursive formulas. The most general free dynamics in arbitrary signature space-times for both quaternionic and octonionic ...
C.A. Barton, D.B. Fairlie, E. Bergshoeff, E. Bergshoeff, Francesco Toppan, H.L. Carrion, Hector Leny Carrion, J. Baez, J. Lukierski, J. Lukierski, L. Smolin, L.J. Boya, M. Cederwall, M. Günaydin, M. Günaydin, M.B. Green, M.F. Atiyah, Moises Rojas, P. Jordan, P. Jordan, P. Jordan, P. Jordan, P. Ramond, R. Haag, S. Ferrara, S. Okubo, S. Okubo, T. Kugo, Y. Ohwashi, Z. Hasiewicz   +29 more
core   +2 more sources

On the Decomposition of Clifford Algebras of Arbitrary Bilinear Form

, 1999
Clifford algebras are naturally associated with quadratic forms. These algebras are Z_2-graded by construction. However, only a Z_n-gradation induced by a choice of a basis, or even better, by a Chevalley vector space isomorphism Cl(V) \bigwedge V and ...
A Crumeyrolle, A Dimakis, A Micali, AJ Hahn, B Fauser, B Fauser, B Fauser, B Fauser, B Fauser, B Fauser, C, C Chevalley, C Daviau, C Doran, D, D Hestenes, D Hestenes, D Hestenes, D Hestenes, E Witt, FA Berezin, FJ Dyson, FJ Dyson, GC Wick, H Hiller, H Stumpf, H. Sailer, HB Lawson, HSM Coxeter, I Porteous, IM Benn, J Maks, M Hamermesh, MF Atiyah, P Budinich, P Lounesto, P Lounesto, P. Lounesto appendix in M, R Ablamowicz, R Haag, R Kerschner, RV Moody, S Majid, W Fulton, WH Greub, Z Oziewicz, Z Oziewicz   +46 more
core   +2 more sources

Derivations on Certain Semigroup Algebras [PDF]

Journal of Sciences, Islamic Republic of Iran, 2007
In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras.
M. Lashkarizadeh Bami
doaj  

Extended Grassmann and Clifford algebras

, 2006
This paper is intended to investigate Grassmann and Clifford algebras over Peano spaces, introducing their respective associated extended algebras, and to explore these concepts also from the counterspace viewpoint.
da Rocha, Roldao, Vaz, Jr, Jayme
core   +1 more source

Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

Mathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
doaj   +1 more source