Homotopy commutativity in Hermitian symmetric spaces

DOI10.1017/S0017089522000118zbMath1498.55008arXiv2201.12948OpenAlexW4221150904MaRDI QIDQ5095583

Daisuke Kishimoto, Yichen Tong, Masahiro Takeda

Publication date: 10 August 2022

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12948

zbMATH Keywords

Hermitian symmetric spacesloop spaceshomotopy commutativityhomotopy nilpotency

Mathematics Subject Classification ID

Loop spaces (55P35) Whitehead products and generalizations (55Q15)

Cites Work

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• Samelson products in \(p\)-regular exceptional Lie groups
• A note on the Samelson product in the classical groups
• Homotopical nilpotency
• Homotopy nilpotency in \(p\)-regular loop spaces
• A note on the Samelson products in \(\pi_*(SO(2n))\) and the group \([SO(2n),SO(2n)\)]
• A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups
• The integral cohomology ring of the symmetric space EVII
• Samelson products in quasi-\(p\)-regular exceptional Lie groups
• Nilpotence and finite H-spaces
• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Homotopy nilpotency of some homogeneous spaces
• Squaring operations in the Hermitian symmetric spaces
• On homotopy commutative H-spaces
• Ramanujan Primes and Bertrand's Postulate
• mod p WU Formulas for the Steenrod Algebra and the Dyer-Lashof Algebra
• COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS
• SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY
• Higher homotopy associativity in the Harris decomposition of Lie groups
• NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS
• On the Topology of EIII and EIV

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