搜索结果: 1-11 共查到“代数学 Bases”相关记录11条 . 查询时间(0.062 秒)
Stability Theorems for Fourier Frames and Wavelet Riesz Bases
Frames Riesz basis nonharmonic series wavelets
2015/9/29
In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis. The first result is an enhancement of the Paley-Wiener type co...
Monomial bases of quantized enveloping algebras of finite type
quantized enveloping algebra Hall algeba monomial basis
2011/9/28
In this paper we present a systematic construction of monomial bases for all quantized enveloping algebras of finite type, which generalizes the main result in [4] for simply laced case.
Integral Bases for the Universal Enveloping Algebras of Map Algebras
the Universal Enveloping Algebras Map Algebras Integral Bases Representation Theory
2011/8/26
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral f...
In this paper, linear bases for the partially commutative Lie alge-bras are found. The method of the Gr¨obner–Shirshov bases is used.
A topological space TO(S) of total orderings on any given set S is introduced and it is shown that TO(S) is compact if S is countable. The set NO(N) of all normal orderings of the nth Weyl algebra W ...
Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast
finite dimensional homogenization non-separated scales and high-contrast
2010/11/9
We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but...
Valuation Extensions of Algebras Defined by Monic Gröbner Bases
Algebras Defined Monic Grö bner Bases
2010/11/18
Let $K$ be a field, $\mathcal {O}_v$ a valuation ring of $K$ associated to a valuation $v$: $K\rightarrow\Gamma\cup\{\infty\}$, and ${\bf m}_v$ the unique maximal ideal of $\mathcal {O}_v$. Consider ...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
A Fourier analytic approach to the problem of mutually unbiased bases
Mutually unbiased bases complex Hadamard matrices difference sets Delsarte’s method
2010/12/15
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and
elegant generalizat...
Gröbner-Shirshov Bases and Hilbert Series of Free Dendriform Algebras
Grö bner-Shirshov Bases Hilbert Series of Free Dendriform Algebras
2010/11/26
The universal theta divisor over the moduli space Ag of principally polarized abelian varieties of dimension g, is the divisor g inside the universal abelian variety Xg over Ag, characterized by two ...
期刊信息
篇名
Special biserial algebras and right Groebner bases
语种
英文
撰写或编译
作者
Y.Han,D.Han
第一作者单位
刊物名称
J. Algebra
页面
262 (2003), 380-390
出版日期
2003年
月
日
文章标识(ISSN)
相关项目
代数表示与GROEBNER基理论