Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Conley, Charles"'
Autor:
Conley, Charles H., Goode, William
We present a general method for describing the annihilators of modules of Lie algebras under certain conditions, which hold for some tensor modules of vector field Lie algebras. As an example, we apply the method to obtain an efficient proof of previ
Externí odkaz:
http://arxiv.org/abs/2403.01728
Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group
Autor:
Conley, Charles H., Ovsienko, Valentin
This paper is an attempt to apply the tools of supergeometry to arithmetic. Supergeometric objects are defined over supercommutative rings of coefficients, and we consider an integral ring with exactly two odd variables. In this case the even quantit
Externí odkaz:
http://arxiv.org/abs/2209.10426
Autor:
Conley, Charles H., Erickson, Jon
Publikováno v:
Math Intelligencer 44 (2022) 364-370
Consider a "simplicial molecule": $n$ equal point masses placed at the vertices of a regular $(n-1)$-simplex, connected by ${n \choose 2}$ identical springs. We apply the representation theory of the symmetric group $S_n$ to compute its vibrational m
Externí odkaz:
http://arxiv.org/abs/2205.14862
Autor:
Conley, Charles H, Ovsienko, Valentin
We formulate the following general problem. To the best of our knowledge, it is open and has not previously been considered. It seems (at least to us!) to be difficult; at any rate, more difficult than enumerating the dissections themselves. Enumerat
Externí odkaz:
http://arxiv.org/abs/2202.00269
Autor:
Conley, Charles H., Ovsienko, Valentin
We study a $2 \times 2$ matrix equation arising naturally in the theory of Coxeter frieze patterns. It is formulated in terms of the generators of the group $\mathrm{PSL}(2,\mathbb{Z})$ and is closely related to continued fractions. It appears in a n
Externí odkaz:
http://arxiv.org/abs/2107.01234
Shadows of rationals and irrationals: Supersymmetric continued fractions and the super modular group
Autor:
Conley, Charles H., Ovsienko, Valentin
Publikováno v:
In Journal of Geometry and Physics August 2023 190
Autor:
Conley, Charles, Ovsienko, Valentin
Publikováno v:
Math. Ann. 375 (2019) 1105-1145
We consider moduli spaces of cyclic configurations of $N$ lines in a $2n$-dimensional symplectic vector space, such that every set of $n$ consecutive lines generates a Lagrangian subspace. We study geometric and combinatorial problems related to thes
Externí odkaz:
http://arxiv.org/abs/1812.04271
Autor:
Conley, Charles H.1 (AUTHOR), Ovsienko, Valentin2 (AUTHOR) valentin.ovsienko@univ-reims.fr
Publikováno v:
Mathematical Intelligencer. Sep2023, Vol. 45 Issue 3, p256-262. 7p.
Autor:
Conley, Charles, Ovsienko, Valentin
Publikováno v:
Math. Intelligencer 40 (2018), no. 3, 45-50
We introduce and study a cyclically invariant polynomial which is an analog of the classical tridiagonal determinant usually called the continuant. We prove that this polynomial can be calculated as the Pfaffian of a skew-symmetric matrix. We conside
Externí odkaz:
http://arxiv.org/abs/1707.09106
Autor:
Conley, Charles H., Sepanski, Mark R.
Publikováno v:
p-Adic Numbers Ultrametric Anal. Appl. 7 (2015), no. 4, 276-290
We survey earlier results on factorizations of extremal projectors and relative extremal projectors and present preliminary results on non-commutative factorizations of relative extremal projectors: we deduce the existence of such factorizations for
Externí odkaz:
http://arxiv.org/abs/1507.02587