Generalized paths and pointed 1-movability
نویسندگان
چکیده
منابع مشابه
Generalized Path Algebras and Pointed Hopf Algebras
Most of pointed Hopf algebras of dimension p with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras it is obtained that the representations, homological dimensions and radicals of these Hopf algebras. The relations between the radicals of path algebras and connectivity of directed graphs are given. 2000 Mathematics subject Classification: 16w3...
متن کاملInhomogeneous lattice paths, generalized Kostka polynomials and An−1 supernomials
Inhomogeneous lattice paths are introduced as ordered sequences of rectangular Young tableaux thereby generalizing recent work on the Kostka polynomials by Nakayashiki and Yamada and by Lascoux, Leclerc and Thibon. Motivated by these works and by Kashiwara’s theory of crystal bases we define a statistic on paths yielding two novel classes of polynomials. One of these provides a generalization o...
متن کاملOn Generalized Dyck Paths
We generalize the elegant bijective proof of the Chung Feller theorem from the paper of Young-Ming Chen [The Chung-Feller theorem revisited, Disc. Math. 308 (2008), 1328–1329].
متن کاملCounting Generalized Dyck Paths
The Catalan number has a lot of interpretations and one of them is the number of Dyck paths. A Dyck path is a lattice path from (0, 0) to (n, n) which is below the diagonal line y = x. One way to generalize the definition of Dyck path is to change the end point of Dyck path, i.e. we define (generalized) Dyck path to be a lattice path from (0, 0) to (m, n) ∈ N2 which is below the diagonal line y...
متن کاملNonconjugate Pointed Generalized Solenoids with Shift Equivalent Π1-actions
Going back to the pioneering work of R. F. Williams, it has been widely believed that if elementary presentations (Ki, fi), i = 1, 2, satisfy the Williams axioms and fix the branch points, then there is a pointed conjugacy r : (lim ←−1 f1), y1) → (lim ←−2 f2), y2) between the natural shift maps f1 and f2 if and only if the fundamental group homomorphisms π1(f1, y1) and π1(f2, y2) are shift equi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1979
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-104-2-141-153