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Journals / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 4

On the Cohomology Ring of the Infinite Flag Manifold LG/D

Cenap ÖZEL
Pages
415–448
Publication Date
1998-04-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we discuss the calculation of cohomology rings of LG / T.
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Key Findings & Data:First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and investigate the cohomology ring structures of LSU2 /T and W SU2.
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Conclusion & Impact:Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (1998) · 415-448. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

In this work, we discuss the calculation of cohomology rings of LG / T. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and investigate the cohomology ring structures of LSU2 /T and W SU2. Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.

Özet

In this work, we discuss the calculation of cohomology rings of LG / T. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and investigate the cohomology ring structures of LSU2 /T and W SU2. Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.

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Cite This Article

ÖZEL, C. (1998). On the Cohomology Ring of the Infinite Flag Manifold LG/D. Turkish Journal of Mathematics, Cilt: 22 - Sayı: 4, 415–448. https://ajindex.com/articles/723475

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