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Homotopies of Crossed Modules of Lie Algebras

Yıl 2018, Cilt: 6 Sayı: 2, 259 - 263, 15.10.2018

Öz

In this paper we will define a notion of homotopy of Lie crossed module morphisms. Then we construct a groupoid structure of Lie crossed module morphisms and their homotopies.



Kaynakça

  • [1] AKCA, I.I. - EMIR, K. - MARTINS, J.F. Pointed Homotopy of Between 2-Crossed Modules of Commutative Algebras, Homology, Homotopy and Applications vol.17(2) pages 1-30, (2015).
  • [2] BROWN, R. AND HIGGINS P. J., Tensor Products and Homotopies for w􀀀groupoids and crossed complexes, Journal of Pure and Applied Algebra 47, (1987), 1-33.
  • [3] CABELLO, J.G. AND GARZON A.R. Closed model structures for algebraic models of n-types, Journal of Pure and Applied Algebra 103 (3), (1995), 287–302.
  • [4] DWYER, W.G. - SPALINSKI, J. Homotopy theories and model categories, In Handbook of algebraic topology, pages 73-126. Amsterdam: Nort Holland, (1995)
  • [5] GOHLA, B. - MARTINS, J.F. Pointed Homotopy and Pointed Lax Homotopy of 2-Crossed Module Maps, Adv. Math. 248: pages 986-1049, (2013).
  • [6] KASEL, C. and LODAY, J.L. Extensions centrales d’algebres de Lie. Ann. Inst. Fourier (Grenoble), 33, (1982) 119-142.
  • [7] NOOHI, B. Notes on 2-groupoids, 2-groups and crossed modules, Homology Homotopy Appl. 9 (1), (2007), 75-106.
  • [8] WHITEHEAD, J.H.C. Combinatorial Homotopy I and II, Bull. Amer. Math. Soc., 55, 231-245 and 453-456 (1949).
Yıl 2018, Cilt: 6 Sayı: 2, 259 - 263, 15.10.2018

Öz

Kaynakça

  • [1] AKCA, I.I. - EMIR, K. - MARTINS, J.F. Pointed Homotopy of Between 2-Crossed Modules of Commutative Algebras, Homology, Homotopy and Applications vol.17(2) pages 1-30, (2015).
  • [2] BROWN, R. AND HIGGINS P. J., Tensor Products and Homotopies for w􀀀groupoids and crossed complexes, Journal of Pure and Applied Algebra 47, (1987), 1-33.
  • [3] CABELLO, J.G. AND GARZON A.R. Closed model structures for algebraic models of n-types, Journal of Pure and Applied Algebra 103 (3), (1995), 287–302.
  • [4] DWYER, W.G. - SPALINSKI, J. Homotopy theories and model categories, In Handbook of algebraic topology, pages 73-126. Amsterdam: Nort Holland, (1995)
  • [5] GOHLA, B. - MARTINS, J.F. Pointed Homotopy and Pointed Lax Homotopy of 2-Crossed Module Maps, Adv. Math. 248: pages 986-1049, (2013).
  • [6] KASEL, C. and LODAY, J.L. Extensions centrales d’algebres de Lie. Ann. Inst. Fourier (Grenoble), 33, (1982) 119-142.
  • [7] NOOHI, B. Notes on 2-groupoids, 2-groups and crossed modules, Homology Homotopy Appl. 9 (1), (2007), 75-106.
  • [8] WHITEHEAD, J.H.C. Combinatorial Homotopy I and II, Bull. Amer. Math. Soc., 55, 231-245 and 453-456 (1949).
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

İbrahim İlker Akça

Yavuz Sidal Bu kişi benim

Yayımlanma Tarihi 15 Ekim 2018
Gönderilme Tarihi 14 Şubat 2018
Kabul Tarihi 3 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 2

Kaynak Göster

APA Akça, İ. İ., & Sidal, Y. (2018). Homotopies of Crossed Modules of Lie Algebras. Konuralp Journal of Mathematics, 6(2), 259-263.
AMA Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. Ekim 2018;6(2):259-263.
Chicago Akça, İbrahim İlker, ve Yavuz Sidal. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics 6, sy. 2 (Ekim 2018): 259-63.
EndNote Akça İİ, Sidal Y (01 Ekim 2018) Homotopies of Crossed Modules of Lie Algebras. Konuralp Journal of Mathematics 6 2 259–263.
IEEE İ. İ. Akça ve Y. Sidal, “Homotopies of Crossed Modules of Lie Algebras”, Konuralp J. Math., c. 6, sy. 2, ss. 259–263, 2018.
ISNAD Akça, İbrahim İlker - Sidal, Yavuz. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics 6/2 (Ekim 2018), 259-263.
JAMA Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. 2018;6:259–263.
MLA Akça, İbrahim İlker ve Yavuz Sidal. “Homotopies of Crossed Modules of Lie Algebras”. Konuralp Journal of Mathematics, c. 6, sy. 2, 2018, ss. 259-63.
Vancouver Akça İİ, Sidal Y. Homotopies of Crossed Modules of Lie Algebras. Konuralp J. Math. 2018;6(2):259-63.
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