CLIFFORD AND WEYL SUPERALGEBRAS AND SPINOR REPRESENTATIONS
CLIFFORD AND WEYL SUPERALGEBRAS AND SPINOR REPRESENTATIONS
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DOI：
10.1007/s00031-019-09542-7
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发表时间：
2018-07
影响因子：
0.7
通讯作者：
J. Hartwig;V. Serganova
中科院分区：
文献类型：
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作者：
J. Hartwig;V. Serganova
构造了一类扭曲广义Weyl代数，它包括Weyl - clifford超代数和和的包络代数的商。给出了由微分算子构成的正则表示是可靠的一个条件。最后，我们从避模向量组成的角度描述了这些代数的梯度支持性。
We construct a family of twisted generalized Weyl algebras which includes Weyl–Clifford superalgebras and quotients of the enveloping algebras ofand. We give a condition for when a canonical representation by differential operators is faithful. Lastly, we give a description of the graded support of these algebras in terms of pattern-avoiding vector compositions.