2015/12/04 by Vesselin Drensky, Drensky, Vesselin, Şehmus Fındık +1
Mathematics · #13A50 #15A72 #17B01 #17B30 #17B63 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1512.01351
openalex publication_date 2015/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let KXd be a vector space with basis Xd=\x1,…,xd\ over a field K of characteristic 0. One of the main topics of classical invariant theory is the study of the algebra of invariants K[Xd]SL2(K), where KXd is a module of the special linear group SL2(K) isomorphic to a direct sum Vk1⊕⋯⊕ Vkr and Vk is the SL2(K)-module of binary forms of degree k. Noncommutative invariant theory deals with the algebra of invariants Fd(\mathfrak V)G of the group G