K-theory of oriented flag manifolds

Abstract We compute the complex K-ring of oriented flag manifolds F̃ ( n 1 , … , n k ) , k ≥ 3, of type ( n 1 , … , n k ). We use the representation theory of spinor groups and the Hodgkin spectral sequence for the computation of the K-ring.

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Publication Details

Journal
Mathematica Slovaca
Published
2025-04-01
DOI
https://doi.org/10.1515/ms-2025-0031
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
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article

K-theory of oriented flag manifolds

Vimala Ramani
Mathematica Slovaca
Advanced Numerical Analysis Techniques
article

K-theory of oriented flag manifolds

Vimala Ramani
article en

Abstract

Abstract We compute the complex K-ring of oriented flag manifolds F̃ ( n 1 , … , n k ) , k ≥ 3, of type ( n 1 , … , n k ). We use the representation theory of spinor groups and the Hodgkin spectral sequence for the computation of the K-ring.

Mathematica SlovacaVol. 75(2)
Anna University, Chennai (IN)
Openalex Percentile: Top 88%
Advanced Numerical Analysis Techniques
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K-theory of oriented flag manifolds — Vimala Ramani · Mathematica Slovaca (2025) | TGRS Research Map | TGRS