The non‐projective part of the tensor powers of a module

The non‐projective part of the tensor powers of a module
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模张量幂的非投影部分

DOI:
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发表时间:
2019
期刊:
Journal of the London Mathematical Society
影响因子:
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通讯作者:
P. Symonds
P. Symonds
中科院分区:
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文献类型:
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作者:
D. Benson;P. Symonds

文献摘要

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设M是有限群G的有限维模表示。我们考虑M的张量幂M <$n的非投射部分的维数,并将其n次根的lim sup记为γG(M)。我们利用表示论和交换Banach代数的理论研究了不变量γG(M)的性质.
Let M be a finite‐dimensional modular representation of a finite group G . We consider the dimensions of the non‐projective part of the tensor powers M⊗n of M , and we write γG(M) for the lim sup of their n th roots. We investigate the properties of the invariant γG(M) , using tools from representation theory, and from the theory of commutative Banach algebras.