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

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

Cenap ÖZEL
Sayfa
415–448
Yayın Tarihi
1998-04-01
DOI
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Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, we discuss the calculation of cohomology rings of LG / T.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Turk. J. Math. · (1998) · 415-448. Full text: pdf Other articles published in the same issue: Turk. J. Math.

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.

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.

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Bu Makaleye Atıf Yap

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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