特殊奇Hamiltonian模李超代数偶部的低维上同调群

Low Dimensional Cohomology Groups for Even Parts of Special Odd Hamiltonian Lie Superalgebras

利用了一个适当环面的权空间分解完全确定了从有限维特殊奇Hamiltonian模李超代数偶部到广义Witt超代数偶部的导子空间,进而给出了相应的低维上同调空间的维数公式.

Derivation spaces for even parts of finite-dimensional special odd Hamiltonian su- peralgebras into even parts of generalized Witt superalgebras are completely determined by means of weight space decompositions with respect to suitable tori. Moreover, the correspond- ing dimension formulas of low dimensional cohomology groups are determined.