85 citations · 232 across the 20 of their papers we have counts for
20 papers
The construction of a class of presentations for Specht modules
Tamar Friedmann
We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Spe…
On an -ary generalization of the Lie representation and tree Specht modules
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We continue our study, initiated in our prior work with Richard Stanley, of the representation of the symmetric group on the multilinear component of an -ary generalization of t…
A new presentation for Specht modules with distinct parts
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We obtain a new presentation for Specht modules whose conjugate shapes have strictly decreasing parts by introducing a linear operator on the space generated by column tabloids. Th…
Counting conjugacy classes of elements of finite order in exceptional Lie groups
Tamar Friedmann, Qidong He
This paper continues the study of two numbers that are associated with Lie groups. The first number is , the number of conjugacy classes of elements in whose order divi…
Euler's Reflection Formula, Infinite Product Formulas, and the Correspondence Principle of Quantum Mechanics
Tamar Friedmann, Quincy Webb
We generalize the derivation of the Wallis formula for from a variational computation of the spectrum of the Hydrogen atom. We obtain infinite product formulas for certain comb…
A simplified presentation of Specht modules
Sarah Brauner, Tamar Friedmann
Fulton and Kraskiewicz gave a presentation of Specht modules as a quotient of the space of column tabloids by dual Garnir relations. We simplify this presentation by showing that i…
On a generalization of Lie(): a CataLAnKe theorem
Tamar Friedmann, Phil Hanlon, Richard P. Stanley +1
We initiate a study of the representation of the symmetric group on the multilinear component of an -ary generalization of the free Lie algebra, which we call a free LAnKe. Our…
On H-Spaces and a Congruence of Catalan Numbers
Tamar Friedmann, John R. Harper
For an odd prime and the cyclic group of order , we show that the number of conjugacy classes of embeddings of in such that no element of has 1 as an eig…
A coin vibrational motor swimming at low Reynolds number
Alice C. Quillen, Hesam Askari, Douglas H. Kelley +2
Low-cost coin vibrational motors, used in haptic feedback, exhibit rotational internal motion inside a rigid case. Because the motor case motion exhibits rotational symmetry, when…
Quantum Mechanical Derivation of the Wallis Formula for
Tamar Friedmann, C. R. Hagen
A famous pre-Newtonian formula for is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, i…
Counting Conjugacy Classes of Elements of Finite Order in Lie Groups
Tamar Friedmann, Richard P. Stanley
Using combinatorial techniques, we answer two questions about simple classical Lie groups. Define to be the number of conjugacy classes of elements of finite order in…
The String Landscape: On Formulas for Counting Vacua
Tamar Friedmann, Richard P. Stanley
We derive formulas for counting certain classes of vacua in the string/M theory landscape. We do so in the context of the moduli space of M-theory compactifications on singular man…
Group-Theoretical Derivation of Angular Momentum Eigenvalues in Spaces of Arbitrary Dimensions
Tamar Friedmann, C. R. Hagen
The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebr…
On Baryon Number Non-Conservation in Two-Dimensional O(2N+1) QCD
Tamar Friedmann
We construct a classical dynamical system whose phase space is a certain infinite-dimensional Grassmannian manifold, and propose that it is equivalent to the large N limit of two-d…
No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons
Tamar Friedmann
We discuss the implications of our prior results obtained in our companion paper [arXiv:0910.2229]. Inescapably, they lead to three laws governing the size of hadrons, including in…
No Radial Excitations in Low Energy QCD. I. Diquarks and Classification of Mesons
Tamar Friedmann
We propose a new schematic model for mesons in which the building blocks are quarks and flavor-antisymmetric diquarks. The outcome is a new classification of the entire meson spect…
Orbifold Singularities, Lie Algebras of the Third Kind (LATKes), and Pure Yang-Mills with Matter
Tamar Friedmann
We discover the unique, simple Lie Algebra of the Third Kind, or LATKe, that stems from codimension 6 orbifold singularities and gives rise to a kind of Yang-Mills theory which sim…
Schwinger pair creation of Kaluza-Klein particles: Pair creation without tunneling
Tamar Friedmann, Herman Verlinde
We study Schwinger pair creation of charged Kaluza-Klein particles from a static KK electric field. We find that the gravitational backreaction of the electric field on the geometr…
Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
Tamar Friedmann, Edward Witten
Models of particle physics based on manifolds of holonomy are in most respects much more complicated than other string-derived models, but as we show here they do have one si…
On the Quantum Moduli Space of M Theory Compactifications
Tamar Friedmann
We study the moduli space of M-theories compactified on G_2 manifolds which are asymptotic to a cone over quotients of S^3 x S^3. We show that the moduli space is composed of sever…