Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie superalgebras

We study the Howe dualities involving the reductive dual pairs $(O(d),spo(2m|2n))$ and $(Sp(d),osp(2m|2n))$ on the (super)symmetric tensor of \C^d\otimes\C^{m|n}. We obtain complete decompositions of this space with respect to their respective joint actions. We also use these dualities to derive a character formula for these irreducible representations of $spo(2m|2n)$ and $osp(2m|2n)$ that appear in these decompositions.Comment: 47 pages, LaTeX forma

Character Formula for Infinite Dimensional Unitarizable Modules of the General Linear Superalgebra

The Fock space of $m+p$ bosonic and $n+q$ fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra $gl_{m+p|n+q}$. Its tensor powers decompose into direct sums of infinite dimensional irreducible highest weight $gl_{m+p|n+q}$-modules. We obtain an explicit decomposition of any tensor power of this Fock space into irreducibles, and develop a character formula for the irreducible $gl_{m+p|n+q}$-modules arising in this way.Comment: 25 Pages, LaTeX forma

Football Follies: Featuring the Struggles of Female Soccer Players Internationally

Female soccer players face social, economic, and cultural discrimination both in the United States and around the world. Men\u27s soccer teams receive social and financial bonuses while women\u27s teams are left with second-rate fields, equipment, budgets, and options. This paper cites various studies on women\u27s soccer teams in Turkey, Brazil, South Africa, Iran, Egypt, Saudi Arabia, Tunisia, Israeli, and even the United States in order to document how female soccer players still face injustice and hardship in order to continue playing the sport they love

Football Follies: Featuring the Struggles of Female Soccer Players Internationally

Female soccer players face social, economic, and cultural discrimination both in the United States and around the world. Men\u27s soccer teams receive social and financial bonuses while women\u27s teams are left with second-rate fields, equipment, budgets, and options. This paper cites various studies on women\u27s soccer teams in Turkey, Brazil, South Africa, Iran, Egypt, Saudi Arabia, Tunisia, Israeli, and even the United States in order to document how female soccer players still face injustice and hardship in order to continue playing the sport they love

Kerjasama Interpol Dalam Penanganan International Crime Menurut Undang-undang Kepolisian Nomor 2 Tahun 2002

Tujuan dilakukannya penelitian ini adalah untuk mengetahui bagaimana pengaturan kerjasama Interpol menurut Undang-Undang kepolisian nomor 2 tahun 2002 dan bagaimana pelaksanaan kerjasama Interpol menurut Undang-Undang kepolisian nomor 2 tahun 2002. Dengan menggunakan metode penelitian yuridis normative dsimpulkan: 1. Pengaturan kerjasama Interpol menurut Undang-Undang kepolisian nomor 2 tahun 2002 adalah bahwa hubungan dan kerjasama luar negeri dilakukan terutama dengan badan-badan kepolisian dan penegak hukum lain melalui kerjasama bilateral atau multilateral dan badan pencegahan kejahatan baik dalam rangka tugas operasional maupun kerjasama teknik dan pendidikan serta pelatihan. 2. Pelaksanaan kerjasama Interpol menurut Undang-Undang kepolisian nomor 2 tahun 2002 Pasal 42 ayat (4) adalah diatur lebih lanjut dalam peraturan pemerintah yaitu Peraturan Pemerintah Republik Indonesia Nomor 68 Tahun 2008 tentang Tata Cara Pelaksanaan Kerjasama Kepolisian Negara Republik Indonesia yang terkandung dalam 19 Pasal

Decoherence and Recoherence in Model Quantum Systems

We discuss the various manifestations of quantum decoherence in the forms of dephasing, entanglement with the environment, and revelation of "which-path" information. As a specific example, we consider an electron interference experiment. The coupling of the coherent electrons to the quantized electromagnetic field illustrates all of these versions of decoherence. This decoherence has two equivalent interpretations, in terms of photon emission or in terms of Aharonov-Bohm phase fluctuations. We consider the case when the coherent electrons are coupled to photons in a squeezed vacuum state. The time-averaged result is increased decoherence. However, if only electrons which are emitted during selected periods are counted, the decoherence can be suppressed below the level for the photon vacuum. This is the phenomenon of recoherence. This effect is closely related to the quantum violations of the weak energy condition, and is restricted by similar inequalities. We give some estimates of the magnitude of the recoherence effect and discuss prospects for observing it in an electron interferometry experiment.Comment: 8 pages, 3 figures, talk presented at the 7th Friedmann Seminar, Joao Pessoa, Brazil, July 200