On framed cobordism classes of classical Lie groups

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概要

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• It is known that any compact connected Lie group with its left invariant framing is framed null-cobordant in the p-component for any prime p≠ 2, 3. In this paper we will prove that the 3-components of SO(2n+1) and Sp(n) are zero for n≥q 3, n≠ 5, 7, 11. Combining this with the previously known results on SO(2n) and SU(n) consequently we see that any classical group has at most only the 2-component with some exceptions.

• 社団法人 日本数学会の論文
• 2003-10-01

著者

• MINAMI Haruo

  Department of Mathematics Faculty of Science Osaka City University

• Minami Haruo

  Department Of Mathematics Nara University Of Education

関連論文

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• On framed cobordism classes of classical Lie groups
• Remarks on Framed Bordism Classes of Classical Lie Groups
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• THE COMPLEX $ K $-GROUPS OF THE PROJECTIVE ORTHOGONAL GROUPS OF DEGREE $ 4l+2 $
• QUOTIENTS OF EXCEPTIONAL LIE GROUPS AS FRAMED BOUNDARIES
• ON THE 3-COMPONENT OF $ SU(n) $ AS A FRAMED MANIFOLD

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