Lie Algebraic Homotopy 3-Types


Yılmaz K., SOYLU YILMAZ E., TAŞBOZAN H.

Symmetry, cilt.18, sa.9, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 9
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3390/sym18091473
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Anahtar Kelimeler: crossed square, homotopy 3-type, internal crossed module, quadratic module, simplicial Lie algebra
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we study the relationship among Lie algebraic homotopy 3-types. We investigate the categorical connection between crossed squares, internal crossed modules, 2-crossed modules, quadratic modules of Lie algebras, and simplicial and bisimplicial Lie algebras.