منابع مشابه
Lagrangian Formalism over Graded Algebras
This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary first step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green’s formula, the relation between integral and differential forms, conservation laws, ...
متن کاملPreprint SISSA 93/94/FM mp arc 94{??? hep-th/9407037 LAGRANGIAN FORMALISM OVER GRADED ALGEBRAS
This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary rst step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green's formula, the connection between integral and di erential forms, conservation laws, E...
متن کاملOn the Regularity over Positively Graded Algebras
We study the relationship between the Tor-regularity and the local-regularity over a positively graded algebra defined over a field which coincide if the algebra is a standard graded polynomial ring. In this case both are characterizations of the so-called Castelnuovo–Mumford regularity. Moreover, we can characterize a standard graded polynomial ring as a K-algebra with extremal properties with...
متن کاملGraded Lagrangian Submanifolds
Floer theory assigns, in favourable circumstances, an abelian group HF (L0, L1) to a pair (L0, L1) of Lagrangian submanifolds of a symplectic manifold (M,ω). This group is a qualitative invariant, which remains unchanged under suitable deformations of L0 or L1. Following Floer [7] one can equip HF (L0, L1) with a canonical relative Z/N -grading, where 1 ≤ N ≤ ∞ is a number which depends on (M,ω...
متن کاملHilbert Functions of Standard Graded Algebras over a Field
In this talk, we introduce Hilbert functions of a graded algebras over a field, and one of the long standing conjectures concerning them, Fröberg conjecture. Then we study relations between Fröberg conjecture on Hilbert series and Moreno-Socias Conjecture. Consequently, we show that Fröberg conjecture holds for special cases as an example. 1. Almost Reverse Lexicographic Monomial Ideal Let R = ...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 1996
ISSN: 0393-0440
DOI: 10.1016/0393-0440(95)00017-8