RECENTLY Gowers and Maurey constructed the first example of Banach space containing no unconditional basic sequence. We denote this space by X_G, in this note. Using the results in ref. [1], some further studies and r...
Let F=Q(-m1/2) (m>0 and square-free) be an imaginary quadratic field and Dm the ring of algebraic integers in F. The field F has a unique non-trivial involution (the complex conjugation) w...
Let F=Q(i=m1/2(i2=-1, m>0 and square free) be an imaginary quadratic field and Rm its ring of algebraic integers. The aim of this note is to construct n-ary positive definite inde...
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I. INTRODUCTION Yang-Baxter equation plays a crucial role in the nonlinear integrable system. Its standard solutions can be constructed in terms of the universal R-matrix and representations of the corresponding quant...
Project supported by the National Natural Science Foundation of China.
Let W be a classical Weyl group and ∏ be the corresponding system of simple roots. For w∈ W, let R(w)={α∈∏|l(ws_α)<l(w)}, where we denote by s_α the simple reflection in the hyperplane orthogonal to α for ...
Project supported by the National Natural Science Foundation of China.
1. Let F= Q (t^2=-1, m>0 and square free) be an imaginary quadratic field, D_m the ring of integers in F, H an n-ary positive definite Hermitian form over F(hereafter simply as H-form), and let(V, H), or simply V, ...
Project supported by the National Natural Science Foundation of China.
The theory of integral Hermitian forms over algebraic number fields not only has connections with many branches of mathematics such as number theory, geometry of numbers, Lie theory and algebraic geometry but also has...
In [1], C. Kosniowshi and R. E. Stong have pointed out that the bordism class of fixed point set can determine nothing about manifold with involution. In this note, we are to consider the case of (M2n-k, T)...