Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

Hopf algebra structure on superspace $\text{SP}_q^{2|1}$

Sayfa
777–783
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A quantum Lie superalgebra derived from ${\mathbb F}({\text{SP}}_q^{2|1})$ is explicitly obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace $\text{SP}_q^{2|1}$, denoted by ${\mathbb F}({\text{SP}}_q^{2|1})$, is defined.
📊
Temel Bulgular & Veri:Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace $\text{SP}_q^{2|1}$, denoted by ${\mathbb F}({\text{SP}}_q^{2|1})$, is defined.
💡
Sonuç & Katkı:A quantum Lie superalgebra derived from ${\mathbb F}({\text{SP}}_q^{2|1})$ is explicitly obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quantum symplectic superspace · super $\star$-algebra · super-Hopf algebra

Abstract

Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace $\text{SP}_q^{2|1}$, denoted by ${\mathbb F}({\text{SP}}_q^{2|1})$, is defined. A quantum Lie superalgebra derived from ${\mathbb F}({\text{SP}}_q^{2|1})$ is explicitly obtained.

🔖

Bu Makaleye Atıf Yap

Çelik, S. (2022). Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 777–783. https://ajindex.com/articles/529701

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. A. Aghamohammadi, M. Khorrami, and A. Shariati, h-deformation as a contraction of q-deformation, J. Phys. A: Math. Gen. 28, L225-L231, 1995
  2. N. Aizawa and R. Chakrabarti, Quantum Spheres for $OSP_q(1|2)$, J. Math. Phys. 46, 103510:1-25, 2005
  3. S. Celik, Covariant differential calculi on quantum symplectic superspace ${\text{SP}}_q^{1|2}$, J.Math. Phys. 58, 023508:1-15, 2017
  4. M. Chaichian and P.P. Kulish, Quantum group covariant systems, in From field theory to quantum groups. World Sci. Publ., River Edge, NJ, 99-111, 1996
  5. L.D. Faddeev, N.Yu. Reshetikhin, and L.A. Takhtajan, Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1, 193-225, 1990
  6. P.P. Kulish and N.Yu Reshetikhin, Universal R-matrix of the quantum superalgebra $osp(2|1)$, Lett. Math. Phys. 18, 143-149, 1989
  7. Yu I. Manin, Multiparametric quantum deformation of the general linear supergroup, Commun. Math. Phys. 123, 163-175, 1989.