Finite-dimensional Lie algebras of order $F$ TeX Export

@article{citeulike:530769, abstract = { The authors consider \$F\$-Lie algebras which formalize the notion of fractional supersymmetry (FSUSY). These algebras are natural generalizations of the Lie algebras (\$F=1\$) and Lie superalgebras (\$F=2\$). The authors show how to construct finite-dimensional \$F\$-Lie algebras with \$F\>2\$ by an inductive process starting from Lie algebras and Lie superalgebras. Many examples of such \$F\$-Lie algebras and their matrix realizations are constructed. In particular, the first finite-dimensional FSUSY extensions of the Poincar\é algebra are presented.}, author = {Rausch and Slupinski, M. J.}, citeulike-article-id = {530769}, citeulike-linkout-0 = {http://www.ams.org/mathscinet-getitem?mr=1927358}, journal = {J. Math. Phys.}, keywords = {fractional\_supersymmetry}, mrnumber = {MR1927358}, number = {10}, pages = {5145--5160}, posted-at = {2006-03-04 02:25:31}, priority = {2}, title = {Finite-dimensional Lie algebras of order \$F\$}, url = {http://www.ams.org/mathscinet-getitem?mr=1927358}, volume = {43}, year = {2002} }

TY - JOUR ID - citeulike:530769 L3 - citeulike-article-id:530769 N2 - The authors consider $F$-Lie algebras which formalize the notion of fractional supersymmetry (FSUSY). These algebras are natural generalizations of the Lie algebras ($F=1$) and Lie superalgebras ($F=2$). The authors show how to construct finite-dimensional $F$-Lie algebras with $F>2$ by an inductive process starting from Lie algebras and Lie superalgebras. Many examples of such $F$-Lie algebras and their matrix realizations are constructed. In particular, the first finite-dimensional FSUSY extensions of the Poincaré algebra are presented. IS - 10 JF - J. Math. Phys. EP - 5160 TI - Finite-dimensional Lie algebras of order $F$ VL - 43 SP - 5145 KW - fractional_supersymmetry AU - Rausch AU - Slupinski, MJ PY - 2002/// UR - http://www.ams.org/mathscinet-getitem?mr=1927358 ER -