✦ LIBER ✦

Variational Calculus of Supervariables and Related Algebraic Structures

✍ Scribed by Xiaoping Xu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 300 KB
Volume: 223
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8064

No coin nor oath required. For personal study only.

✦ Synopsis

We establish a formal variational calculus of supervariables, which is a combination of the bosonic theory of Gel'fand᎐Dikii and the fermionic theory in our earlier work. Certain interesting new algebraic structures are found in connection with Hamiltonian superoperators in terms of our theory. In particular, we find connections between Hamiltonian superoperators and Novikov᎐Poisson algebras that we introduced in our earlier work in order to establish a tensor theory of Novikov algebras. Furthermore, we prove that an odd linear Hamiltonian superoperator in our variational calculus induces a Lie superalgebra, which is a natural generalization of the super-Virasoro algebra under certain conditions.

📜 SIMILAR VOLUMES

Calculus of variations and descriptive s

Calculus of variations and descriptive set theory

✍ Nikolaos E. Sofronidis 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 89 KB

## Abstract If __X__ is a locally compact Polish space, then LSC(__X__, ℝ) denotes the compact Polish space of lower semi‐continuous real‐valued functions on __X__ equipped with the topology of epi‐convergence. Our purpose in this article is to prove the following: if –∞ < __α__ < __β__ < ∞ and –∞

Algebraic Kekule Structures of Benzenoid

Algebraic Kekule Structures of Benzenoid Hydrocarbons.

✍ Ivan Gutman; Damir Vukicevic; Ante Graovac; Milan Randic 📂 Article 📅 2004 🏛 John Wiley and Sons ⚖ 51 KB 👁 1 views

Structural variation of native cellulose

Structural variation of native cellulose related to its source

✍ Takeshi Okano; Akio Koyanagi 📂 Article 📅 1986 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 473 KB 👁 1 views

## Synopsis X-ray diffraction diagrams of 80 specimens, mainly from woody plants, were recorded and resolved into characteristic reflections of cellulose I. Significant differences were observed in d-spacings and integrated intensity ratios between softwoods and hardwoods. O f the lattice paramet

The origins of mechanical conservation p

The origins of mechanical conservation principles and variational calculus in the 17th century

✍ Erwin Stein 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 453 KB

## Abstract The 17^th^ century is considered as the cradle of modern natural sciences and technology as well as the begin of the age of enlightenment with the invention of analytical geometry by R. Descartes (1637), infinitesimal calculus by I. Newton (1668) and G. W. Leibniz (1674), and based on t

Derivation-Simple Algebras and the Struc

Derivation-Simple Algebras and the Structures of Lie Algebras of Witt Type

✍ Yucai Su; Xiaoping Xu; Hechun Zhang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 146 KB

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi

Terminology of the prostate and related

Terminology of the prostate and related structures

✍ Colin Wendell-Smith 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

The various studies of J.E. McNeal (1968McNeal ( -1977) ) established with precision the different sites of predilection for prostatic carcinomas, benign prostatic hypertrophy (BPH), and inflammation, making the division of the prostate into right, left, and middle lobes and isthmus inadequate for t