Spinor group and its restrictions

1985 ◽  
Vol 26 (6) ◽  
pp. 1140-1145 ◽  
Author(s):  
C. R. Sarma ◽  
J. Paldus
Keyword(s):  
Spinor Group

Irreducible tensors in the octahedral spinor group

1973 ◽  
Vol 26 (2) ◽  
pp. 473-502 ◽  
Author(s):  
Sven E. Harnung
Keyword(s):  
Irreducible Tensors ◽  
Spinor Group

scholarly journals A counter-example by Yagita

2020 ◽  
Vol 31 (03) ◽  
pp. 2050025 ◽  
Author(s):  
Nikita A. Karpenko
Keyword(s):  
Algebraic Group ◽  
Flag Variety ◽  
Arbitrary Characteristic ◽  
Semisimple Algebraic Group ◽  
Counter Example ◽  
Spinor Group ◽  
Algebraic Cobordism

According to a 2018 preprint by Nobuaki Yagita, the conjecture on a relationship between [Formula: see text]- and Chow theories for a generically twisted flag variety of a split semisimple algebraic group [Formula: see text], due to the author, fails for [Formula: see text] the spinor group [Formula: see text]. Yagita’s tools include a Brown–Peterson version of algebraic cobordism, ordinary and connective Morava [Formula: see text]-theories, as well as Grothendieck motives related to various cohomology theories over fields of characteristic [Formula: see text]. We provide a proof using only the [Formula: see text]- and Chow theories themselves and extend the (slightly modified) example to arbitrary characteristic.

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