منابع مشابه
Symmetric Functions
Lazard's theorem is a central result in formal group theory; it states that the ring over which the universal formal group law is deened (known as the Lazard ring) is a polynomial algebra over the integers with innnitely many generators. This ring also shows up in algebraic topology as the complex cobordism ring. The main aim of this paper is to show that the polynomial structure of the Lazard ...
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We show that the set of all functions is equivalent to the set of all symmetric functions up to deterministic time complexity. In particular, for any function f , there is an equivalent symmetric function fsym such that f can be computed form fsym and vice-versa (modulo an extra deterministic linear time computation). For f over finite fields, fsym is (necessarily) over an extension field. This...
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This article is essentially an appendix to [4]. We gather here some useful properties of the algebra FQSym of free quasi-symmetric functions which were overlooked in [4]. Recall that FQSym is a subalgebra of the algebra of noncommutative polynomials in infinitely many variables ai which is mapped onto Gessel’s algebra of quasi-symmetric functions QSym by the commutative image ai 7→ xi of K〈A〉. ...
متن کاملSymmetric and anti-symmetric quantum functions
SYMMETRIC AND ANTI-SYMMETRIC QUANTUM FUNCTIONS J. Robert Burger California State University Northridge CSUN Report Number HCEEN006_2A ABSTRACT This paper introduces and analyzes symmetric and anti-symmetric quantum binary functions. Generally, such functions uniquely convert a given computational basis state into a different basis state, but with either a plus or a minus sign. Such functions ma...
متن کاملIntroductions to Symmetric Polynomials and Symmetric Functions
Symmetric polynomials and symmetric functions are ubiquitous in mathematics and mathematical physics. For example, they appear in elementary algebra (e.g. Viete’s Theorem), representation theories of symmetric groups and general linear groups over C or finite fields. They are also important objects to study in algebraic combinatorics. Via their close relations with representation theory, the th...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2015
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms/pdv023