References
- Bahturin , Yu . 1993 . Basic Structures of Modern Algebra , Dordrecht : Kluwer Academic Publishers .
- Bahturin , Yu A , Mikhalev , A A , Petrogradsky , V M and Zaicev , M V . 1992 . Infinite Dimensional Lie Superalgebras , Berlin : Walter de Gruyter .
- Green , H S and Jarvis , P D . 1983 . Casimir invariants, characteristic identities and Young diagrams for Colour algebras and superalgebras . J. Math. Phys. , 24 : 1681 – 1687 .
- Hellström , L . 2002 . The Diamond Lemma for Power Series Algebras , Umeå University . Doctoral Thesis, no 23
- Hellström , L and Silvestrov , S D . 2000 . Commuting Elements in q-Deformed Heisenberg Algebras , 256 World Scientific .
- Kac , V G . 1977 . Lie Superalgebras . Adv. Math. , 26 : 8 – 96 .
- Kleeman , R . 1985 . Commutation factors on generalized Lie algebras . J. Math. Phys. , 26 : 2405 – 2412 .
- Kwasniewski , A K . 1985 . Clifford- and Grassmann-like algebras – Old and new . J. Math. Phys. , 26 : 2234 – 2238 .
- Marcinek , W . 1991 . Generalized Lie algebras and Related Topics,1,2 , Vol. 1170 , 3 – 52 . Acta Univ. Wratislaviensis . (Matematyka, Fizyka, Astronomia) LV
- Ostrovskii , V L and Silvestrov , S D . 1992 . Representations of the real forms of the graded analogue of the Lie algebra sl(2,C) . Ukrain. Mat. Zh. , 44 : 1518 – 1524 . (English translation: Ukrainian Math. J. 44 (1993), 1395–1401)
- Persson , L , Silvestrov , S D and Strunk , P . 1997 . Central elements of the second order in three-dimensional generalised Lie algebras . Czech. J. Phys. , 47 : 99 – 106 .
- Putnam , C R . 1967 . Commutation Properties of Hilbert Space Operators and Related Topics , Berlin Heidelberg : Springer-Verlag .
- Rittenberg , V and Wyler , D . 1978 . Generalized Superalgebras . Nucl. Phys. B , 139 : 189 – 202 .
- Scheunert , M . 1979 . Generalized Lie algebras . J. Math. Phys. , 20 : 712 – 720 .
- Scheunert , M . 1983 . Graded tensor calculus . J. Math. Phys. , 24 : 2658 – 2670 .
- Sigurdsson , G and Silvestrov , S D . 2000 . Canonical involutions in three-dimensional generalised Lie algebras . Czech. J. Phys. , 50 : 181 – 186 .
- Silvestrov , S D . 1996 . Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions . Studia Mathematica , 117 : 195 – 203 .
- Silvestrov , S D . 1996 . Representations of Commutation Relations. A Dynamical Systems Approach . Hadronic Journal Supplement , 11 : 1 – 116 .
- Silvestrov , S D . 1997 . “ On the classification of 3-dimensional coloured Lie algebras ” . In “Quantum Groups and Quantum Spaces” , Vol. 40 , 159 – 170 . Banach Center Publications .
- Wielandt , H . 1949 . Über die Unbeschränkheit der Schrödingerschen Operatoren der Quanten-mechanik . Math. Ann. , 121 : 21
- Wintner , A . 1947 . The unboundedness of quantum-mechanical matrices . Phys. Rev. , 71 : 738 – 739 .