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Integral weyl invariants and the borel homomorphism for spin(n)

 

作者: David W. Lyons,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 7  

页码: 2221-2239

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826272

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We examine the Weyl invariant subringH*(BT)Wof the integral singular cohomology ringH*(BT) of the classifying spaceBTof the maximal torusTin a connected compact Lie groupK. We show thatH*(BT)Wis not a polynomial algebra forK= Spin(n) whenn≥10. We describe the connection of this result with the Borel homomorphismH*{BT) →H*{K/T).

 

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